Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces

From MaRDI portal

Publication:868785

Jump to:navigation, search

DOI10.1016/j.jmaa.2006.06.055zbMath1116.47053OpenAlexW2043358226MaRDI QIDQ868785

Giuseppe Marino, Hong-Kun Xu

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.055

zbMATH Keywords

fixed point Hilbert space convergence theorem \(k\)-strict pseudocontraction projection Mann type iterative method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

A strong convergence theorem for a general split equality problem with applications to optimization and equilibrium problem ⋮ Convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces ⋮ A hybrid algorithm for pseudo-contractive mappings ⋮ Mann iteration of weak convergence theorems in Banach space ⋮ Weak convergence theorems on the split common fixed point problem for demicontractive continuous mappings ⋮ Iterative algorithms for mixed equilibrium problems, strict pseudocontractions and monotone mappings ⋮ Estimating the local radius of convergence for Picard iteration ⋮ A new approximation method for finding common elements of equilibrium problems, variational inequality problems and fixed point problems of nonspreading mappings ⋮ Split common null point and common fixed point problems between Banach spaces and Hilbert spaces ⋮ A shrinking projection extragradient algorithm for equilibrium problem and fixed point problem ⋮ Common solutions to a system of variational inequalities over the set of common fixed points of demi-contractive operators ⋮ On split generalised mixed equilibrium problems and fixed-point problems with no prior knowledge of operator norm ⋮ Studies on common solutions of a variational inequality and a fixed-point problem ⋮ Some modified extragradient methods for solving split feasibility and fixed point problems ⋮ An iterative algorithm for a general system of variational inequalities and fixed point problems in \(q\)-uniformly smooth Banach spaces ⋮ Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems ⋮ Convergence theorems for split equality generalized mixed equilibrium problems for demi-contractive mappings ⋮ Hybrid extragradient iterative algorithms for variational inequalities, variational inclusions, and fixed-point problems ⋮ Shrinking projection method of common fixed point problems for discrete asymptotically strictly pseudocontractive semigroups and mixed equilibrium problems in Hilbert spaces ⋮ Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings ⋮ Strong convergence theorems for strict pseudocontractions in uniformly convex Banach spaces ⋮ A system of generalized mixed equilibrium problems and fixed point problems for pseudocontractive mappings in Hilbert spaces ⋮ Strong convergence theorems of viscosity iterative methods for a countable family of strict pseudo-contractions in Banach spaces ⋮ Relaxed extragradient iterative methods for variational inequalities ⋮ On a generalized Ky Fan inequality and asymptotically strict pseudocontractions in the intermediate sense ⋮ Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense ⋮ Hybrid extragradient-like viscosity methods for generalized mixed equilibrium problems, variational inclusions, and optimization problems ⋮ Strong convergence algorithms of the split common fixed point problem for total quasi-asymptotically pseudocontractive operators ⋮ Relaxed iterative algorithms for generalized mixed equilibrium problems with constraints of variational inequalities and variational inclusions ⋮ Hybrid extragradient method with regularization for convex minimization, generalized mixed equilibrium, variational inequality and fixed point problems ⋮ Strong and weak convergence criteria of composite iterative algorithms for systems of generalized equilibria ⋮ A new iterative method for the set of solutions of equilibrium problems and of operator equations with inverse-strongly monotone mappings ⋮ Shrinking projection methods for split common fixed-point problems in Hilbert spaces ⋮ Mann iterative process for pseudocontractive mappings ⋮ Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense ⋮ An explicit iterative algorithm for a class of variational inequalities in Hilbert spaces ⋮ Weak convergence theorems of three iterative methods for strictly pseudocontractive mappings of Browder-Petryshyn type ⋮ Generalized Mann iterations for approximating fixed points of a family of hemicontractions ⋮ Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces ⋮ A new algorithm for two finite families of demicontractive mappings and equilibrium problems ⋮ Three kinds of hybrid algorithms and their numerical realizations for a finite family of quasi-asymptotically pseudocontractive mappings ⋮ Fixed points of nonexpansive and quasi-nonexpansive mappings ⋮ Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings ⋮ Sharp estimation of local convergence radius for the Picard iteration ⋮ A novel low-cost method for generalized split inverse problem of finite family of demimetric mappings ⋮ Strong convergence theorem for a family of Lipschitz pseudocontractive mappings in a Hilbert space ⋮ Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces ⋮ Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem ⋮ Weak and strong convergence theorems for the multiple-set split equality common fixed-point problems of demicontractive mappings ⋮ An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems ⋮ Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces ⋮ A general iterative method for split common fixed point problem and variational inclusion problem ⋮ Hybrid gradient-projection algorithm for solving constrained convex minimization problems with generalized mixed equilibrium problems ⋮ Weak and strong convergence theorems for equilibrium problems and countable strict pseudocontractions mappings in Hilbert space ⋮ Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings ⋮ Monotone hybrid projection algorithms for an infinitely countable family of Lipschitz generalized asymptotically quasi-nonexpansive mappings ⋮ A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem ⋮ New hybrid iterative schemes for an infinite family of nonexpansive mappings in Hilbert spaces ⋮ Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions ⋮ A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces ⋮ Implicit and explicit algorithms for solving the split feasibility problem ⋮ Viscosity approximation methods for equilibrium problems, variational inequality problems of infinitely strict pseudocontractions in Hilbert spaces ⋮ Hybrid method with perturbation for Lipschitzian pseudocontractions ⋮ Strong convergence theorems for solving equilibrium problems and fixed point problems of \(\xi \)-strict pseudo-contraction mappings by two hybrid projection methods ⋮ A strong convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces ⋮ Iterative methods for the computation of fixed points of demicontractive mappings ⋮ New iterative manner involving sunny nonexpansive retractions for pseudocontractive mappings ⋮ Convergence theorems for \(\lambda \)-strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces ⋮ Strong convergence theorem for nonexpansive semigroups in Hilbert space ⋮ Theorems of strong convergence of mixed iterative methods for obtaining strict pseudocontractions in Banach spaces ⋮ Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings ⋮ Strong convergence theorem of an iterative method for variational inequalities and fixed point problems in Hilbert spaces ⋮ Convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense ⋮ Strong convergence theorems by hybrid methods for strict pseudocontractions and equilibrium problems ⋮ Strong convergence theorems for a new iterative method of \(k\)-strictly pseudo-contractive mappings in Hilbert spaces ⋮ The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces ⋮ Strong convergence theorems of a general iterative process for a finite family of \(\lambda \)i-strict pseudo-contractions in q-uniformly smooth Banach spaces ⋮ An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces ⋮ A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems ⋮ Modified hybrid algorithms for Lipschitz quasi-pseudo-contractive mappings in Hilbert spaces ⋮ A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces ⋮ Iterative solutions of the split common fixed point problem for strictly pseudo-contractive mappings ⋮ Convergence of the Mann iteration algorithm for a class of pseudocontractive mappings ⋮ A hybrid iterative scheme for asymptotically \(k\)-strict pseudo-contractions in Hilbert spaces ⋮ Some results on \(k\)-strictly pseudo-contractive mappings in Hilbert spaces ⋮ Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces ⋮ Strong convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces ⋮ Asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Strong convergence theorems for a family of quasi-asymptotic pseudo-contractions in Hilbert spaces ⋮ Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions in Hilbert spaces ⋮ Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions ⋮ On some algorithms in Banach spaces finding fixed points of nonlinear mappings ⋮ Strong convergence of the modified Mann iterative method for strict pseudo-contractions ⋮ An iterative algorithm combining viscosity method with parallel method for a generalized equilibrium problem and strict pseudocontractions ⋮ Strong convergence of Mann type implicit iterative process for demi-continuous pseudo-contractions ⋮ Convergence theorems on an implicit iterative process for approximating common fixed points of finite strictly pseudocontractive mappings ⋮ A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings ⋮ A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces ⋮ An extragradient method for mixed equilibrium problems and fixed point problems ⋮ Strong convergence theorems by hybrid method for asymptotically \(k\)-strict pseudo-contractive mapping in Hilbert space ⋮ The subgradient extragradient method for approximation of fixed-point problem and modification of equilibrium problem ⋮ Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications ⋮ An inertial projection and contraction method with a line search technique for variational inequality and fixed point problems ⋮ Ball-relaxed projection algorithms for multiple-sets split feasibility problem ⋮ Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces ⋮ Unnamed Item ⋮ ITERATIVE COMPUTATION FOR SOLVING CONVEX OPTIMIZATION PROBLEMS OVER THE SET OF COMMON FIXED POINTS OF QUASI-NONEXPANSIVE AND DEMICONTRACTIVE MAPPINGS ⋮ An asynchronous inertial algorithm for solving convex feasibility problems with strict pseudo-contractions in Hilbert spaces ⋮ Unnamed Item ⋮ Stochastic approximation results for variational inequality problem using random-type iterative schemes ⋮ New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems ⋮ An iterative technique for solving split equality monotone variational inclusion and fixed point problems ⋮ Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping ⋮ Some common fixed point results for three total asymptotically pseudocontractive mappings ⋮ Bounded perturbation resilience and superiorization techniques for a modified proximal gradient method ⋮ Mann-Dotson's algorithm for a countable family of non-self strict pseudo-contractive mappings ⋮ An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes ⋮ On monotone pseudocontractive operators and Krasnoselskij iterations in an ordered Hilbert space ⋮ The split common fixed point problem with multiple output sets for strictly pseudo-contractive mappings ⋮ Strict pseudocontractions and demicontractions, their properties, and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence Theorems for Pseudomonotone Equilibrium Problem, Split Feasibility Problem, and Multivalued Strictly Pseudocontractive Mappings ⋮ Unnamed Item ⋮ Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm ⋮ STRONG CONVERGENCE OF SOME ALGORITHMS FOR λ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACE ⋮ Simultaneous iterative algorithm for the split equality fixed-point problem of demicontractive mappings ⋮ Generalized mixed equilibria, variational inequalities and constrained convex minimization ⋮ Boundary Point Method and Mann-Dotson’s Algorithm for Nonself Strict Pseudo-contractive Mappings in Uniformly Smooth Banach Spaces ⋮ Hybrid steepest-descent viscosity methods for triple hierarchical variational inequalities with constraints of mixed equilibria and bilevel variational inequalities ⋮ Viscosity approximation methods for the multiple-set split equality common fixed-point problems of demicontractive mappings ⋮ Unnamed Item ⋮ Convergence theorems for strict pseudo-contractions in CAT(0) metric spaces ⋮ A cyclic iterative method for solving a class of variational inequalities in Hilbert spaces ⋮ Convergence theorems on generalized equilibrium problems and fixed point problems with applications ⋮ Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces ⋮ Unnamed Item ⋮ Weak and Strong Convergence Theorems for New Demimetric Mappings and the Split Common Fixed Point Problem in Banach Spaces ⋮ Strong Convergence Theorems for a Finite Family of Sequences of Nearly Nonexpansive Mappings in Hilbert Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces ⋮ Strong Convergence Theorems for Bregman Demigeneralized Mappings in Banach Spaces with Applications ⋮ Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces ⋮ A viscosity iterative algorithm for split common fixed-point problems of demicontractive mappings ⋮ Simultaneous iteration for variational inequalities over common solutions for finite families of nonlinear problems ⋮ An iterative viscosity approximation method for the split common fixed-point problem ⋮ A Method of approximation for a zero of the sum of maximally monotone mappings in Hilbert spaces ⋮ Nonlinear iterative algorithms for solving variational inequality problems over the set of common fixed point of one-parameter nonexpansive semigroup and demicontractive mappings ⋮ A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings ⋮ STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES ⋮ Composite steepest-descent method for the triple hierarchical variational inequalities ⋮ A Rate of Asymptotic Regularity for the Mann Iteration of κ-Strict Pseudo-Contractions ⋮ A synthetic algorithm for families of demicontractive and nonexpansive mappings and equilibrium problems ⋮ Iterative approximation of solution of split variational inclusion problem ⋮ GENERAL NONCONVEX SPLIT VARIATIONAL INEQUALITY PROBLEMS ⋮ Two algorithms for solving single-valued variational inequalities and fixed point problems ⋮ A general iterative method for hierarchical variational inequality problems in Hilbert spaces and applications ⋮ Strong convergence theorem for strict pseudo-contractions in Hilbert spaces ⋮ On the convergence of a generalized modified Krasnoselskii iterative process for generalized strictly pseudocontractive mappings in uniformly convex Banach spaces ⋮ Strong convergence theorems for Bregman quasi-strict pseudo-contractions in reflexive Banach spaces with applications ⋮ A new explicit iterative algorithm for solving a class of variational inequalities over the common fixed points set of a finite family of nonexpansive mappings ⋮ Generalized viscosity approximation methods for nonexpansive mappings ⋮ Strong convergence theorem for the modified generalized equilibrium problem and fixed point problem of strictly pseudo-contractive mappings ⋮ Weak and strong convergence of hybrid subgradient method for pseudomonotone equilibrium problem and multivalued nonexpansive mappings ⋮ Three kinds of new hybrid projection methods for a finite family of quasi-asymptotically pseudocontractive mappings in Hilbert spaces ⋮ A new hybrid algorithm and its numerical realization for two nonexpansive mappings ⋮ An intermixed algorithm for strict pseudo-contractions in Hilbert spaces ⋮ On general systems of variational inequalities ⋮ An iterative method for solving split monotone variational inclusion and fixed point problems ⋮ Effective results on a fixed point algorithm for families of nonlinear mappings ⋮ Fixed point theorems for hybrid multivalued mappings in Hilbert spaces ⋮ Strong convergence theorem for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions ⋮ An extragradient-like approximation method for variational inequalities and fixed point problems ⋮ Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense ⋮ On the hybrid projection method for fixed point and equilibrium problems ⋮ Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings ⋮ Generalized extragradient iterative method for systems of variational inequalities ⋮ Hybrid iterative scheme for a generalized equilibrium problems, variational inequality problems and fixed point problem of a finite family of \(\kappa_i\)-strictly pseudocontractive mappings ⋮ Iterative algorithms for common elements in fixed point sets and zero point sets with applications ⋮ The Mann-type extragradient iterative algorithms with regularization for solving variational inequality problems, split feasibility, and fixed point problems ⋮ Modified Mann-Halpern algorithms for pseudocontractive mappings ⋮ Multistep hybrid extragradient method for triple hierarchical variational inequalities ⋮ A modified Mann iteration by boundary point method for finding minimum-norm fixed point of nonexpansive mappings ⋮ Relaxed extragradient methods with regularization for general system of variational inequalities with constraints of split feasibility and fixed point problems ⋮ Strong convergence of iterative algorithms with variable coefficients for asymptotically strict pseudocontractive mappings in the intermediate sense and monotone mappings ⋮ General iterative methods for generalized equilibrium problems and fixed point problems of \(k\)-strict pseudo-contractions ⋮ Hybrid method for equilibrium problems and fixed point problems of finite families of nonexpansive semigroups ⋮ A new hybrid method for variational inequality and fixed point problems ⋮ Convergence theorems concerning hybrid methods for strict pseudocontractions and systems of equilibrium problems ⋮ Strong convergence theorems for fixed points of asymptotically strict quasi-\(\phi\)-pseudocontractions ⋮ Convergence results for the zero-finding problem and fixed points of nonexpansive semigroups and strict pseudocontractions ⋮ Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces ⋮ An approximate solution to the fixed point problems for an infinite family of asymptotically strictly pseudocontractive mappings in the intermediate sense, cocoercive quasivariational inclusions problems and mixed equilibrium problems in Hilbert spaces ⋮ Some results on fixed points of asymptotically strict quasi-\(\phi\)-pseudocontractions in the intermediate sense ⋮ A hybrid projection method for solving a common solution of a system of equilibrium problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense in Hilbert spaces ⋮ Weak and strong convergence theorems for asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces ⋮ Strong convergence of a new iterative scheme for a finite family of strict pseudo-contractions ⋮ About the relaxed cocoercivity and the convergence of the proximal point algorithm ⋮ Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings ⋮ Hybrid iterative algorithms for nonexpansive and nonspreading mappings in Hilbert spaces ⋮ Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem ⋮ Iterative approximation of common element of solution sets of various nonlinear operator problems ⋮ The combination of the set of solutions of equilibrium problem for convergence theorem of the set of fixed points of strictly pseudo-contractive mappings and variational inequalities problem ⋮ A new iterative method for equilibrium problems and fixed point problems for infinite family of nonself strictly pseudocontractive mappings ⋮ Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems ⋮ Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems ⋮ Mann's type extragradient for solving split feasibility and fixed point problems of Lipschitz asymptotically quasi-nonexpansive mappings ⋮ Strong convergence of new iterative algorithms for certain classes of asymptotically pseudocontractions ⋮ Strong convergence of shrinking projection methods for a family of pseudocontractive mappings in Hilbert spaces ⋮ Degree of convergence of iterative algorithms for boundedly Lipschitzian strong pseudocontractions ⋮ Strong convergence theorems of a new general iterative process with Meir-Keeler contractions for a countable family of \(\lambda_i\)-strict pseudocontractions in \(q\)-uniformly smooth Banach spaces ⋮ Hybrid algorithm for finding common elements of the set of generalized equilibrium problems and the set of fixed point problems of strictly pseudocontractive mapping ⋮ Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method ⋮ Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions ⋮ A strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in Hilbert spaces and applications ⋮ A hybrid algorithm with variable coefficients for asymptotically pseudocontractive mappings in the intermediate sense on unbounded domains ⋮ Convergence theorems for equilibrium problems and fixed point problems of a finite family of asymptotically \(k\)-strictly pseudocontractive mappings in the intermediate sense ⋮ Hybrid Mann-Halpern iteration methods for nonexpansive mappings and semigroups ⋮ A hybrid extragradient method for approximating the common solutions of a variational inequality, a system of variational inequalities, a mixed equilibrium problem and a fixed point problem ⋮ Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Strong convergence theorems for equilibrium problems and \(k\)-strict pseudocontractions in Hilbert spaces ⋮ Strong convergence by a hybrid algorithm for finding a common fixed point of Lipschitz pseudocontraction and strict pseudocontraction in Hilbert spaces ⋮ An implicit algorithm for maximal monotone operators and pseudocontractive mappings ⋮ Hybrid Ishikawa iterative methods for a nonexpansive semigroup in Hilbert space ⋮ Convergence of an implicit iterative process for asymptotically pseudocontractive nonself-mappings ⋮ Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces ⋮ Weak convergence theorems for strictly pseudocontractive mappings and generalized mixed equilibrium problems ⋮ General iterative methods for equilibrium problems and infinitely many strict pseudocontractions in Hilbert spaces ⋮ Approximations for nonlinear mappings by the hybrid method in Hilbert spaces ⋮ Weak and strong convergence theorems of modified Ishikawa iteration for an infinitely countable family of pointwise asymptotically nonexpansive mappings in Hilbert spaces ⋮ Computing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterations ⋮ An iterative shrinking projection method for solving fixed point problems of closed and \(\phi\)-quasi-strict pseudocontractions along with generalized mixed equilibrium problems in Banach spaces ⋮ Strong convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces ⋮ Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ A strongly convergent shrinking descent-like Halpern's method for monotone variational inequality and fixed point problems ⋮ Strong convergence of a new multi-step algorithm for strict pseudo-contractive mappings and Ky Fan inequality ⋮ Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces ⋮ On the approximation of fixed points of non-self strict pseudocontractions ⋮ A new general iterative scheme for split variational inclusion and fixed point problems of \(k\)-strict pseudo-contraction mappings with convergence analysis ⋮ An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces ⋮ Approximation of common solutions to system of mixed equilibrium problems, variational inequality problem, and strict pseudo-contractive mappings ⋮ Convergence of iterative sequences for fixed point and variational inclusion problems ⋮ An iteration method for common solution of a system of equilibrium problems in Hilbert spaces ⋮ A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces ⋮ An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings ⋮ On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings ⋮ Hybrid projection algorithms for asymptotically strict quasi-\(\varphi\)-pseudocontractions ⋮ Convergence in norm of modified Krasnoselski-Mann iterations for fixed points of demicontractive mappings ⋮ Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces ⋮ A unified extragradient method for systems of hierarchical variational inequalities in a Hilbert space ⋮ Multi-step extragradient method with regularization for triple hierarchical variational inequalities with variational inclusion and split feasibility constraints ⋮ Implicit and explicit iterative methods for mixed equilibria with constraints of system of generalized equilibria and hierarchical fixed point problem ⋮ Mann-type hybrid steepest-descent method for three nonlinear problems ⋮ General viscosity iterative approximation for solving unconstrained convex optimization problems ⋮ Strong convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert space ⋮ On the weak convergence of iterative sequences for generalized equilibrium problems and strictly pseudocontractive mappings ⋮ Iterative methods for strict pseudo-contractions in Hilbert spaces ⋮ Relaxed viscosity approximation methods with regularization for constrained minimization problems ⋮ Strong convergence theorems for fixed point problems for strict pseudo-contractions and variational inequalities for inverse-strongly accretive mappings in uniformly smooth Banach spaces ⋮ An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings ⋮ Strong convergence theorems for strict pseudo-contractions in Hilbert spaces ⋮ Unnamed Item ⋮ New iterative methods for finding common fixed points of two non-self mappings in a real Hilbert space ⋮ On the Approximation of Zeros of Non-Self Monotone Operators ⋮ Some subgradient extragradient type algorithms for solving split feasibility and fixed point problems ⋮ A new iterative scheme for fixed point problems of infinite family of \(\kappa _{i }\)-pseudo contractive mappings, equilibrium problem, variational inequality problems ⋮ New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications ⋮ A hybrid iterative scheme for equilibrium problems and fixed point problems of asymptotically \(k\)-strict pseudo-contractions ⋮ A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems ⋮ Iterative arrangements of the MSCFP for strictly pseudocontractive mappings ⋮ A new iteration method for variational inequalities on the set of common fixed points for a finite family of quasi-pseudocontractions in Hilbert spaces ⋮ A hybrid iteration for asymptotically strictly pseudocontractive mappings ⋮ Extragradient method for convex minimization problem ⋮ Relaxed extragradient methods for systems of variational inequalities ⋮ Hybrid extragradient method for hierarchical variational inequalities ⋮ An algorithm to solve equilibrium problems and fixed points problems involving a finite family of multivalued strictly pseudo-contractive mappings ⋮ Hybrid methods for a finite family of G-nonexpansive mappings in Hilbert spaces endowed with graphs ⋮ Viscosity approximation method for solving the multiple-set split equality common fixed-point problems for quasi-pseudocontractive mappings in Hilbert spaces ⋮ General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces ⋮ General-type proximal point algorithm for solving inclusion and fixed point problems with composite operators ⋮ A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings ⋮ Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators ⋮ Local convergence of Exquerro-Hernandez method ⋮ Quantitative results on Fejér monotone sequences ⋮ A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings ⋮ A new accelerated self-adaptive stepsize algorithm with excellent stability for split common fixed point problems ⋮ Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces ⋮ Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems ⋮ New iterative schemes for solving variational inequality and fixed points problems involving demicontractive and quasi-nonexpansive mappings in Banach spaces ⋮ A hybrid steepest-descent method for variational inequalities in Hilbert spaces ⋮ Relaxed and hybrid viscosity methods for general system of variational inequalities with split feasibility problem constraint ⋮ Strong convergence by the shrinking effect of two half-spaces and applications ⋮ Split feasibility and fixed-point problems for asymptotically quasi-nonexpansive mappings ⋮ An efficient iterative method for finding common fixed point and variational inequalities in Hilbert spaces ⋮ The split common fixed point problem for generalized demimetric mappings in two Banach spaces ⋮ Unnamed Item ⋮ Extension of the Hybrid Steepest Descent Method to a Class of Variational Inequalities and Fixed Point Problems with Nonself-Mappings ⋮ A Note on the Mann Iteration fork-Strict Pseudocontractions in Banach Spaces ⋮ Weak convergence theorems for strict pseudo-contractions in Banach spaces ⋮ An iterative algorithm for the system of split mixed equilibrium problem ⋮ Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities ⋮ The split common fixed-point problem for demicontractive mappings and quasi-nonexpansive mappings ⋮ Hybrid implicit steepest-descent methods for triple hierarchical variational inequalities with hierarchical variational inequality constraints ⋮ A parallel monotone hybrid algorithm for a finite family of \(G\)-nonexpansive mappings in Hilbert spaces endowed with a graph applicable in signal recovery ⋮ Viscosity approximation methods for nonexpansive multi-valued nonself mappings and equilibrium problems ⋮ Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings ⋮ A general iterative algorithm for an infinite family of nonexpansive operators in Hilbert spaces ⋮ An iterative approach to mixed equilibrium problems and fixed points problems ⋮ Convex optimization over fixed point sets of quasi-nonexpansive and nonexpansive mappings in utility-based bandwidth allocation problems with operational constraints ⋮ Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions ⋮ A viscosity method with no spectral radius requirements for the split common fixed point problem ⋮ Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces ⋮ Iterative methods for triple hierarchical variational inequalities with mixed equilibrium problems, variational inclusions, and variational inequalities constraints ⋮ An algorithm with strong convergence for the split common fixed point problem of total asymptotically strict pseudocontraction mappings ⋮ Strong and weak convergence theorems for split equality generalized mixed equilibrium problem ⋮ An iterative shrinking metric \(f\)-projection method for finding a common fixed point of a closed and quasi-strict \(f\)-pseudocontraction and a countable family of firmly nonexpansive mappings and applications in Hilbert spaces ⋮ Ishikawa iterative algorithms for a generalized equilibrium problem and fixed point problems of a pseudo-contraction mapping ⋮ Weak and strong convergence theorems for strictly pseudononspreading mappings and equilibrium problem in Hilbert spaces ⋮ A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings ⋮ An iterative algorithm for fixed point problem and convex minimization problem with applications ⋮ A hybrid iterative method for common solutions of variational inequality problems and fixed point problems for single-valued and multi-valued mappings with applications ⋮ An iterative method for equilibrium, variational inequality, and fixed point problems for a nonexpansive semigroup in Hilbert spaces ⋮ Convergence theorems for split equality mixed equilibrium problems with applications ⋮ A new hybrid algorithm for a nonexpansive mapping ⋮ Krasnoselskii-Mann method for non-self mappings ⋮ Modified Krasnoselski-Mann type iterative algorithm with strong convergence for hierarchical fixed point problem and split monotone variational inclusions ⋮ Unnamed Item ⋮ A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem ⋮ General algorithms for split common fixed point problem of demicontractive mappings ⋮ Shrinking Projection Methods for a Pair of Asymptotically Quasi-φ-Nonexpansive Mappings ⋮ New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems ⋮ Strong convergence theorems of k-strict pseudo-contractions in Hilbert spaces ⋮ Strong convergence theorems of a finite family of quasi-nonexpansive and Lipschitz multi-valued mappings ⋮ Convergence theorem for system of pseudomonotone equilibrium and split common fixed point problems in Hilbert spaces ⋮ Hybrid viscosity methods for equilibrium problems, variational inequalities, and fixed point problems ⋮ Convergence Theorems for Pointwise Asymptotically Strict Pseudo-Contractions in Hilbert Spaces ⋮ Parallel proximal method of solving split system of fixed point set constraint minimization problems ⋮ Strong convergence theorems of modified Mann iterative process for strict pseudo-contractions in Hilbert spaces ⋮ Fixed point methods for pseudomonotone variational inequalities involving strict pseudocontractions ⋮ Approximating common fixed points of a finite family of non-self mappings in Hilbert spaces ⋮ An algorithm for a class of bilevel variational inequalities with split variational inequality and fixed point problem constraints ⋮ Hybrid extragradient methods for asymptotically strict pseudo-contractions in the intermediate sense and variational inequality problems ⋮ Unnamed Item ⋮ Parallel hybrid viscosity method for fixed point problems, variational inequality problems and split generalized equilibrium problems ⋮ New inertial proximal gradient methods for unconstrained convex optimization problems ⋮ Strong convergence of an inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems ⋮ Weak and strong convergence of inertial algorithms for solving split common fixed point problems ⋮ Unnamed Item ⋮ Inertial subgradient projection algorithms extended to equilibrium problems ⋮ Common solution to generalized mixed equilibrium problem and fixed point problems in Hilbert space ⋮ Unnamed Item ⋮ The split feasibility problem with multiple output sets for demicontractive mappings ⋮ Convergence analysis for proximal split feasibility problems and fixed point problems ⋮ Hybrid extragradient viscosity method for general system of variational inequalities

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:868785&oldid=12813896"