Fixed Point Theory for Lipschitzian-type Mappings with Applications
From MaRDI portal
Publication:5502986
DOI10.1007/978-0-387-75818-3zbMath1176.47037OpenAlexW587075566MaRDI QIDQ5502986
Daya Ram Sahu, Ravi P. Agarwal, Donal O'Regan
Publication date: 12 January 2009
Full work available at URL: https://doi.org/10.1007/978-0-387-75818-3
Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)
Related Items
A halpern-type iteration for solving the split feasibility problem and the fixed point problem of Bregman relatively nonexpansive semigroup in Banach spaces ⋮ Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces ⋮ Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces ⋮ Unnamed Item ⋮ Proximity Point Properties for Admitting Center Maps ⋮ Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces ⋮ Unnamed Item ⋮ Parallel Normal S-Iteration Methods with Applications to Optimization Problems ⋮ Unnamed Item ⋮ SOME APPROXIMATE COMMON FIXED POINT THEOREMS IN b-METRIC SPACES ⋮ A THREE-STEP ITERATION PROCESS FOR GENERALIZED α-NONEXPANSIVE MULTIVALUED MAPPING IN BANACH SPACES ⋮ S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities ⋮ An explicit extragradient algorithm for solving variational inequality problem with application ⋮ An iterative algorithm with inertial technique for solving the split common null point problem in Banach spaces ⋮ Introduction of new Picard–S hybrid iteration with application and some results for nonexpansive mappings ⋮ Asymptotic farthest points and extreme points ⋮ An inertial method for split equality common \(f, g\)-fixed point problems of \(f, g\)-pseudocontractive mappings in reflexive real Banach spaces ⋮ Mann-type algorithms for solving the monotone inclusion problem and the fixed point problem in reflexive Banach spaces ⋮ Inertial relaxed CQ algorithm for split feasibility problems with non-Lipschitz gradient operators ⋮ An inertial viscosity algorithm for solving monotone variational inclusion and common fixed point problems of strict pseudocontractions ⋮ Convergence analysis of an iteration process for a class of generalized nonexpansive mappings with application to fractional differential equations ⋮ An algorithm for the generalized split equality fixed point problem of quasi-pseudo-contractive mappings ⋮ A hybrid projection method for solving the multiple-sets split feasibility problem ⋮ An algorithm for quasiconvex equilibrium problems and asymptotically nonexpansive mappings: application to a Walras model with implicit supply-demand ⋮ Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space ⋮ Superiorization and bounded perturbation resilience of a gradient projection algorithm solving the convex minimization problem ⋮ Unnamed Item ⋮ A simple proof for Imnang's algorithms ⋮ On the convergence of Newton-like MS method with dynamics and applications ⋮ Unnamed Item ⋮ Viscosity approximation method for split best proximity point and monotone variational inclusion problem ⋮ Two new algorithms to solve the system of generalized mixed equilibrium and fixed point problems in Banach spaces ⋮ Strong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point Problems ⋮ Convergence analysis for solving equilibrium problems and split feasibility problems in Hilbert spaces ⋮ Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications ⋮ Split common fixed point problem for demimetric mappings and Bregman relatively nonexpansive mappings ⋮ A new self-adaptive method for the multiple-sets split common null point problem in Banach spaces ⋮ Convergence theorem for split feasibility problem, equilibrium problem and zeroes of sum of monotone operators ⋮ On split monotone variational inclusion problem with multiple output sets with fixed point constraints ⋮ New Algorithms for Solving the Split Common Zero Point Problem in Hilbert Space ⋮ Extragradient method for approximating a common solution for a fixed point and variational inequality problems in Hilbert space ⋮ Krasnoselskij-type algorithms for fixed point problems and variational inequality problems in Banach spaces ⋮ Application of fixed point theory and solitary wave solutions for the time-fractional nonlinear unsteady convection-diffusion system ⋮ Algorithms for Nonlinear Integral Equations of Hammerstein Type with Phi-monotone Mappings in Certain Banach Spaces ⋮ Two projection methods for solving the multiple-set split common null point problem in Hilbert spaces ⋮ A hybrid method for solving variational inequalities over the common fixed point sets of infinite families of nonexpansive mappings in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonlinear iterative methods for solving the split common null point problem in Banach spaces ⋮ General iterative algorithms for monotone inclusion, variational inequality and fixed point problems ⋮ Coupled fixed point results on metric spaces defined by binary operations ⋮ Unnamed Item ⋮ Convergence rate analysis of proximal gradient methods with applications to composite minimization problems ⋮ A New and Faster Iterative Scheme Including Generalized $\alpha$-nonexpansive Mappings in Banach Spaces ⋮ Iterative algorithms for finding minimum‐norm fixed point of nonexpansive mappings and applications ⋮ Unnamed Item ⋮ On differentiability of implicitly defined function in semi-parametric profile likelihood estimation ⋮ A strong convergence theorem for equilibrium problems and generalized hybrid mappings ⋮ A modified extragradient method for variational inclusion and fixed point problems in Banach spaces ⋮ Fixed points of multivalued nonlinear F-contractions on complete metric spaces ⋮ On the effect of alfa-admissibility and Teta-contractivity to the existence of fixed points of multivalued mappings ⋮ COMPUTATION OF ZEROS OF MONOTONE TYPE MAPPINGS: ON CHIDUME’S OPEN PROBLEM ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Strong and weak convergence of Mann iteration of monotone α-nonexpansive mappings in uniformly convex Banach spaces ⋮ Some convergence results of M iterative process in Banach spaces ⋮ Global optimization of cyclic Kannan nonexpansive mappings in nonreflexive Banach spaces ⋮ Weak and strong stabilisation of bilinear systems in a Banach space ⋮ Unnamed Item ⋮ Perturbed iterative methods for a general family of operators: convergence theory and applications ⋮ Unnamed Item ⋮ Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces ⋮ Best Approximation in Nonlinear Functional Analysis ⋮ Hierarchical Minimization Problems and Applications ⋮ Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces ⋮ Fixed points of multivalued non-linear F-contractions with application to solution of matrix equations ⋮ Unnamed Item ⋮ Hybrid proximal point algorithm for solving split equilibrium problems and its applications ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES ⋮ Modified CQ-Algorithms for G-Nonexpansive Mappings in Hilbert Spaces Involving Graphs ⋮ Some convergence results using K iteration process in Banach Spaces ⋮ ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE ⋮ A new approach to the Assad-Kirk fixed point theorem ⋮ A residual algorithm for finding a fixed point of a nonexpansive mapping ⋮ A new iterative algorithm for the sum of infinite \(m\)-accretive mappings and infinite \(\mu_{i}\)-inversely strongly accretive mappings and its applications to integro-differential systems ⋮ New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space ⋮ Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces ⋮ Solving a split feasibility problem by the strong convergence of two projection algorithms in Hilbert spaces ⋮ Common fixed points for some generalized contraction pairs in convex metric spaces ⋮ Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces ⋮ Iterative methods for triple hierarchical variational inequalities and common fixed point problems ⋮ Three kinds of new hybrid projection methods for a finite family of quasi-asymptotically pseudocontractive mappings in Hilbert spaces ⋮ Convergence theorems for generalized nonexpansive mappings in uniformly convex Banach spaces ⋮ On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces ⋮ An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces ⋮ General iterative methods for monotone mappings and pseudocontractive mappings related to optimization problems ⋮ On Browder's convergence theorem and Halpern iteration process for \(G\)-nonexpansive mappings in Hilbert spaces endowed with graphs ⋮ On stationary points of nonexpansive set-valued mappings ⋮ A new explicit iteration method for a class of variational inequalities ⋮ Strong convergence of asymptotically pseudocontractive semigroup by viscosity iteration ⋮ Fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces ⋮ Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations ⋮ A steepest-descent Krasnosel'skii-Mann algorithm for a class of variational inequalities in Banach spaces ⋮ Iterative methods for solving quasi-variational inclusion and fixed point problem in \(q\)-uniformly smooth Banach spaces ⋮ Retraction algorithms for solving variational inequalities, pseudomonotone equilibrium problems, and fixed-point problems in Banach spaces ⋮ Optimality conditions for set-valued optimisation problems using a modified Demyanov difference ⋮ Mann and Ishikawa-type iterative schemes for approximating fixed points of multi-valued non-self mappings ⋮ Approximating fixed points of nearly asymptotically nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces ⋮ Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities ⋮ Strong convergence theorems for semigroups of asymptotically nonexpansive mappings in Banach spaces ⋮ Iterative methods for pseudocontractive mappings in Banach spaces ⋮ A general inexact iterative method for monotone operators, equilibrium problems and fixed point problems of semigroups in Hilbert spaces ⋮ Some Newton-like methods with sharper error estimates for solving operator equations in Banach spaces ⋮ Approximating fixed points of amenable semigroup and infinite family of nonexpansive mappings and solving systems of variational inequalities and systems of equilibrium problems ⋮ Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities ⋮ Data assimilation and sampling in Banach spaces ⋮ Fixed point theorems in convex metric spaces ⋮ The structure of fixed-point sets of Lipschitzian type semigroups ⋮ Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces ⋮ A fixed point theorem for multivalued almost \(F_\delta\)-contraction ⋮ Fixed point theorems for generalized nonexpansive mappings in hyperbolic spaces ⋮ Fixed point theorems for Lipschitzian type mappings in \(CAT(0)\) spaces ⋮ A general iterative method for finding common solutions of system of equilibrium problems, system of variational inequalities and fixed point problems ⋮ Fixed point theorems of mean nonexpansive set-valued mappings in Banach spaces ⋮ Fixed point theorems for Kannan type mappings ⋮ Iterative methods for hierarchical common fixed point problems and variational inequalities ⋮ New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors ⋮ Minimum selections and fixed points of set-valued operators in Banach spaces with some uniform convexity ⋮ Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications ⋮ Stability results for Jungck-type iterative processes in convex metric spaces ⋮ Strong convergence for a minimization problem on solutions of systems of equilibrium problems and common fixed points of an infinite family and semigroup of nonexpansive mappings ⋮ Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces ⋮ Hybrid pseudo-viscosity approximation schemes for systems of equilibrium problems and fixed point problems of infinite family and semigroup of non-expansive mappings ⋮ New generalized mixed equilibrium problem with respect to relaxed semi-monotone mappings in Banach spaces ⋮ Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces ⋮ Strong convergence theorems for two total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces ⋮ Strong convergence for a countable family of strict pseudocontractions in -uniformly smooth Banach spaces ⋮ A fixed point theorem for multivalued mappings with \(\delta\)-distance ⋮ Nearly contraction mapping principle for fixed points of hemicontinuous mappings ⋮ Common fixed point of single valued and multivalued mappings ⋮ Approximation common zero of two accretive operators in Banach spaces ⋮ A strong convergence theorem for the split common null point problem in Banach spaces ⋮ Presic type fixed point theorem for four maps in metric spaces ⋮ Iterative approximation of fixed points by using \(F\) iteration process in Banach spaces ⋮ Strong convergence theorems for finite families of pseudomonotone equilibrium and fixed point problems in Banach spaces ⋮ The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example ⋮ Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces ⋮ A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs ⋮ Approximating solution of split equality and equilibrium problems by viscosity approximation algorithms ⋮ \(J\)-variational inequalities and zeroes of a family of maximal monotone operators by sunny generalized nonexpansive retraction ⋮ A new simple parallel iteration method for a class of variational inequalities ⋮ Some results about fixed points in the complete metric space of zero at infinity varieties and complete convex metric space of varieties ⋮ Existence and approximation of fixed points of nonlinear mappings in spaces with weak uniform normal structure ⋮ Existence and strong convergence theorems for generalized mixed equilibrium problems of a finite family of asymptotically nonexpansive mappings in Banach spaces ⋮ Approximation of common fixed points of a sequence of nearly nonexpansive mappings and solutions of variational inequality problems ⋮ Approximating fixed points of non-Lipschitzian mappings by metric projections ⋮ Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces ⋮ Fixed point theorems for nonexpansive maps in Banach spaces ⋮ Split common fixed point problem for quasi-pseudo-contractive mapping in Hilbert spaces ⋮ Strong convergence theorem for split feasibility problems and variational inclusion problems in real Banach spaces ⋮ System of multivariate pseudo-contractive operator equations and the existence of solutions ⋮ Approximating endpoints of multi-valued nonexpansive mappings in Banach spaces ⋮ Invariant means on weakly almost periodic functions and generalized fixed point properties ⋮ Rational type multivalued \(F_{G}\)-contractive mappings with a graph ⋮ A new iterative method for Suzuki mappings in Banach spaces ⋮ New inertial relaxed \(CQ\) algorithms for solving split feasibility problems in Hilbert spaces ⋮ Inertial relaxed \textit{CQ} algorithms for solving a split feasibility problem in Hilbert spaces ⋮ Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces ⋮ Convergence of some iterative algorithms for system of generalized set-valued variational inequalities ⋮ A generalized strong convergence algorithm in the presence of errors for variational inequality problems in Hilbert spaces ⋮ Inertial iterative algorithms for common solution of variational inequality and system of variational inequalities problems ⋮ A new gradient projection algorithm for convex minimization problem and its application to split feasibility problem ⋮ Approximate solution of zero point problem involving \(H\)-accretive maps in Banach spaces and applications ⋮ Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation ⋮ On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's ⋮ On Picard-Krasnoselskii hybrid iteration process in Banach spaces ⋮ Iterative approximations for a class of generalized nonexpansive operators in Banach spaces ⋮ Multi-inertial parallel hybrid projection algorithm for generalized split null point problems ⋮ Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces ⋮ Fixed point solutions for variational inequalities in image restoration over \(q\)-uniformly smooth Banach spaces ⋮ Viscosity approximation methods for zeros of accretive operators and fixed point problems in Banach spaces ⋮ Strong and pure fixed point properties of mappings on normed spaces ⋮ Strong convergence of a new hybrid iterative scheme for nonexpansive mappings and applications ⋮ Fractal functions on the Sierpinski gasket ⋮ Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces. ⋮ Accelerated modified inertial Mann and viscosity algorithms to find a fixed point of \(\alpha\)-inverse strongly monotone operators ⋮ Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces ⋮ Dynamical technique for split common fixed point problem in Banach spaces ⋮ Convergence analysis for a new two-step iteration process for G-nonexpansive mappings with directed graphs ⋮ Existence and uniqueness of solutions for multi-term fractional \(q\)-integro-differential equations via quantum calculus ⋮ Convergence analysis of two-step inertial Douglas-Rachford algorithm and application ⋮ An inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces ⋮ More on the behaviors of fixed points sets of multifunctions and applications ⋮ Unnamed Item ⋮ Two optimization approaches for solving split variational inclusion problems with applications ⋮ A modified Picard S-hybrid iterative process for solving split generalized equilibrium problem ⋮ An inertial self-adaptive algorithm for the generalized split common null point problem in Hilbert spaces ⋮ Discussions on the fixed points of Suzuki-Edelstein \(E\)-contractions ⋮ Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems ⋮ Two projection algorithms for the common solution of the monotone inclusion, the fixed point and the null point problems in Hilbert spaces ⋮ Approximation of common solutions of nonlinear problems in Banach spaces ⋮ A common solution of generalized equilibrium, zeros of monotone mapping and fixed point problems ⋮ Extragradient methods for solving split feasibility problem and general equilibrium problem and resolvent operators in Banach spaces ⋮ Fixed point theorems for multivalued nonself \(G\)-almost contractions in Banach spaces endowed with graphs ⋮ Fixed point theorems for the sum of two multivalued mappings and an application to an integral inclusion ⋮ A generalized self-adaptive algorithm for the split feasibility problem in Banach spaces ⋮ Two new self-adaptive algorithms for solving the split common null point problem with multiple output sets in Hilbert spaces ⋮ Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications ⋮ Convergence of a hybrid viscosity approximation method for finding zeros of \(m\)-accretive operators ⋮ Iterative methods for a generalized equilibrium problem and a nonexpansive multi-valued mapping ⋮ Variable KM-like algorithms for fixed point problems and split feasibility problems ⋮ Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces ⋮ Modified forward-backward splitting midpoint method with superposition perturbations for the sum of two kinds of infinite accretive mappings and its applications ⋮ Nonlinear common fixed point properties of semitopological semigroups in uniformly convex spaces ⋮ An implicit algorithm for finding a fixed point of a \(Q\)-nonexpansive mapping in locally convex spaces ⋮ Hybrid methods for a finite family of G-nonexpansive mappings in Hilbert spaces endowed with graphs ⋮ On the split equality fixed point problem of quasi-pseudo-contractive mappings without a priori knowledge of operator norms with applications ⋮ A new modified three-step iteration method for G-nonexpansive mappings in Banach spaces with a graph ⋮ Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces ⋮ Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition ⋮ Fixed points of multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs ⋮ Explicit iteration methods for solving variational inequalities in Banach spaces ⋮ Application of new strongly convergent iterative methods to split equality problems ⋮ On new Picard-Mann iterative approximations with mixed errors for implicit midpoint rule and applications ⋮ Approximating fixed points for nonlinear generalized mappings using Ishikawa iteration ⋮ On bicomplex \(\mathbb{BC}\)-modules \(l_p^\Bbbk(\mathbb{BC})\) and some of their geometric properties ⋮ Algorithms for zeros of two accretive operators for solving convex minimization problems and its application to image restoration problems ⋮ A shrinking projection method for solving the split common null point problem in Banach spaces ⋮ Approximating fixed points of generalized \(\alpha\)-nonexpansive mappings in Banach spaces by new faster iteration process ⋮ New algorithms for a class of accretive variational inequalities in Banach spaces ⋮ Convergence of Inexact Mann Iterations Generated by Nearly Nonexpansive Sequences and Applications ⋮ Some new convergence and stability results for Jungck generalized pseudo-contractive and Lipschitzian type operators using hybrid iterative techniques in the Hilbert space ⋮ Approximating fixed points of operators satisfying (RCSC) condition in Banach spaces ⋮ Unnamed Item ⋮ Iterative method for approximating a common fixed point for family of multi-valued generalized hemi-contractive nonself mappings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Weak and strong convergence theorems and a nonlinear ergodic theorem for N-generalized hybrid mappings ⋮ Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms ⋮ Unnamed Item ⋮ Data dependence results of new multi-step and S-iterative schemes for contractive-like operators ⋮ Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces ⋮ Noncompact perturbation of sweeping process with delay in Banach spaces ⋮ Inertial-type algorithm for solving split common fixed point problems in Banach spaces ⋮ AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES ⋮ A unified hybrid iterative method for hierarchical minimization problems ⋮ Hybrid iterative algorithms for the split common fixed point problems ⋮ Modified hybrid iterative methods for generalized mixed equilibrium, variational inequality and fixed point problems ⋮ Semi-implicit iterative schemes with perturbed operators for infinite accretive mappings and infinite nonexpansive mappings and their applications to parabolic systems ⋮ Viscosity Approximation Methods for Generalized Multi-Valued Nonexpansive Mappings with Applications ⋮ Non-self multivariate contraction mapping principle in Banach spaces ⋮ Global best approximate solutions for set-valued cyclic α-F-contractions ⋮ Some theorems for a new type of multivalued contractivemaps on metric space ⋮ On fixed point approach to equilibrium problem ⋮ Effect of shrinking projection and CQ-methods on two inertial forward-backward algorithms for solving variational inclusion problems ⋮ Modified hybrid projection methods with SP iterations for quasi-nonexpansive multivalued mappings in Hilbert spaces ⋮ Some convergence results for a class of generalized nonexpansive mappings in Banach spaces ⋮ Viscosity approximation methods for nonexpansive multi-valued nonself mappings and equilibrium problems ⋮ Combination of the hybrid steepest-descent method and the viscosity approximation ⋮ A new multi-step iteration for solving a fixed point problem of nonexpansive mappings ⋮ Unnamed Item ⋮ The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem ⋮ Iterative methods for solving a class of monotone variational inequality problems with applications ⋮ An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces ⋮ Feng-Liu type approach to best proximity point results for multivalued mappings ⋮ A new iteration technique for nonlinear operators as concerns convex programming and feasibility problems ⋮ A new algorithm for solving the split common null point problem in Hilbert spaces ⋮ Iterative algorithm for zeros of multivalued accretive operators in certain Banach spaces ⋮ Approximation of common solutions for a fixed point problem of asymptotically nonexpansive mapping and a generalized equilibrium problem in Hilbert space ⋮ A Picard-type iterative algorithm for general variational inequalities and nonexpansive mappings ⋮ On nonlinear set-valued \(\theta\)-contractions ⋮ Existence and convergence theorems for Berinde nonexpansive multivalued mapping on Banach spaces ⋮ Bregman distance and strong convergence of proximal-type algorithms ⋮ An algorithm for solving a class of accretive variational inequalities involving pseudo-contractions ⋮ An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces ⋮ The first common fixed point theorem for commutative set-valued mappings ⋮ Unnamed Item ⋮ Two strong convergence theorems for the common null point problem in Banach spaces ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces ⋮ A strong convergence theorem for solving an equilibrium problem and a fixed point problem using the Bregman distance ⋮ On the JK iterative process in Banach spaces