DOI10.1137/070688717zbMath1168.47047OpenAlexW2031913965MaRDI QIDQ3629522
Fumiaki Kohsaka, Takahashi, Wataru
Publication date: 27 May 2009
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070688717
Spherical nonspreadingness of resolvents of convex functions in geodesic spaces ⋮
On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces ⋮
Strong convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert space ⋮
Approximation of a zero point of monotone operators with nonsummable errors ⋮
Ergodic approximations via matrix regularization approach ⋮
The split common fixed point problem for \(\varrho\)-strictly pseudononspreading mappings ⋮
Mean convergence theorems using hybrid methods to find common fixed points for noncommutative nonlinear mappings in Hilbert spaces ⋮
Convergence theorems using Ishikawa iteration for finding common fixed points of demiclosed and 2-demiclosed mappings in Hilbert spaces ⋮
Approximation of common fixed points for a countable family of relatively nonexpansive mappings in a Banach space and applications ⋮
Convergence theorems for finding zero points of maximal monotone operators and equilibrium problems in Banach spaces ⋮
Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces ⋮
Fixed point theorems for hybrid multivalued mappings in Hilbert spaces ⋮
A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space ⋮
Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems ⋮
A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators ⋮
Fixed point theorem for generic 2-generalized hybrid mappings in Hilbert spaces ⋮
Convergence theorems for common solutions of various problems with nonlinear mapping ⋮
An implicitly defined iterative sequence for monotone operators in Banach spaces ⋮
Strong convergence theorem by hybrid method for equilibrium problems, variational inequality problems and maximal monotone operators ⋮
Hybrid algorithm for fixed points of weak relatively nonexpansive mappings and applications ⋮
Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems ⋮
Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems ⋮
Approximation of common fixed points of nonlinear mappings satisfying jointly demi-closedness principle in Banach spaces ⋮
A hybrid iterative scheme for a maximal monotone operator and two countable families of relatively quasi-nonexpansive mappings for generalized mixed equilibrium and variational inequality problems ⋮
A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space ⋮
Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators ⋮
Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications ⋮
Two block hybrid projection method for solving a common solution for a system of generalized equilibrium problems and fixed point problems for two countable families ⋮
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space ⋮
Strong convergence theorem for total quasi-\(\phi\)-asymptotically nonexpansive mappings in a Banach space ⋮
Strong convergence to solutions of generalized mixed equilibrium problems with applications ⋮
Hybrid iterative scheme by a relaxed extragradient method for equilibrium problems, a general system of variational inequalities and fixed-point problems of a countable family of nonexpansive mappings ⋮
A new hybrid method for equilibrium problems, variational inequality problems, fixed point problems, and zero of maximal monotone operators ⋮
Strong convergence theorems for 2-generalized hybrid mappings in Hilbert spaces ⋮
Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems ⋮
Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces ⋮
Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces ⋮
Algorithm for solutions of nonlinear equations of strongly monotone type and applications to convex minimization and variational inequality problems ⋮
A cyclic method for solutions of a class of split variational inequality problem in Banach space ⋮
Halpern-type iterations for strongly relatively nonexpansive mappings in Banach spaces ⋮
Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space ⋮
Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type ⋮
A hybrid inertial algorithm for approximating solution of convex feasibility problems with applications ⋮
Strong convergence of an iterative scheme by a new type of projection method for a family of quasinonexpansive mappings ⋮
A new hybrid projection algorithm for system of equilibrium problems and variational inequality problems and two finite families of quasi-\(\phi\)-nonexpansive mappings ⋮
A hybrid method for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces ⋮
A Halpern-Mann type iteration for fixed point problems of a relatively nonexpansive mapping and a system of equilibrium problems ⋮
Convergence of an iterative method for relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces ⋮
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces ⋮
A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings ⋮
Inertial-type algorithm for solving split common fixed point problems in Banach spaces ⋮
Invariant means and reversible semigroup of relatively nonexpansive mappings in Banach spaces ⋮
Applications of convex analysis within mathematics ⋮
A new algorithm for two finite families of demicontractive mappings and equilibrium problems ⋮
Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings ⋮
Fixed point approximation of monotone nonexpansive mappings in hyperbolic spaces ⋮
Attractive points and Halpern-type strong convergence theorems in Hilbert spaces ⋮
A strong convergence theorem for a finite family of Bregman demimetric mappings in a Banach space under a new shrinking projection method ⋮
Approximating a common solution of extended split equality equilibrium and fixed point problems ⋮
Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space ⋮
Attractive point and nonlinear ergodic theorems without convexity in reflexive Banach spaces ⋮
Modified hybrid projection methods with SP iterations for quasi-nonexpansive multivalued mappings in Hilbert spaces ⋮
Fixed point theorems for nonlinear non-self mappings in Hilbert spaces and applications ⋮
Strong convergence theorem for nonexpansive mappings on star-shaped sets in Hilbert spaces ⋮
Convergence theorems based on the shrinking projection method for variational inequality and equilibrium problems ⋮
Iterative schemes for approximating solution of nonlinear operators in Banach spaces ⋮
Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces ⋮
Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces ⋮
Strong convergence of generalized projection algorithms for nonlinear operators ⋮
Approximation of common fixed points of a countable family of relatively nonexpansive mappings ⋮
A modified Halpern-type iterative method of a system of equilibrium problems and a fixed point for a totally quasi-\(\phi\)-asymptotically nonexpansive mapping in a Banach space ⋮
Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems ⋮
A new strong convergence theorem for equilibrium problems and fixed point problems in Banach spaces ⋮
Multiple-set split feasibility problems for \(\kappa\)-asymptotically strictly pseudo-nonspreading mappings in Hilbert spaces ⋮
Ergodic theorems for hybrid sequences in a Hilbert space with applications ⋮
Fixed point theorem for \(\alpha \)-nonexpansive mappings in Banach spaces ⋮
Demiclosed principle and convergence theorems for asymptotically strictly pseudononspreading mappings and mixed equilibrium problems ⋮
Fixed point property and approximation of a class of nonexpansive mappings ⋮
Convergence theorems of shrinking projection methods for equilibrium problem, variational inequality problem and a finite family of relatively quasi-nonexpansive mappings ⋮
Multiple-set split feasibility problems for \(\kappa\)-strictly pseudononspreading mapping in Hilbert spaces ⋮
Weak and strong convergence theorems for strictly pseudononspreading mappings and equilibrium problem in Hilbert spaces ⋮
Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces ⋮
On an open question of Takahashi for nonspreading mappings in Banach spaces ⋮
Common solution for a finite family of minimization problem and fixed point problem for a pair of demicontractive mappings in Hadamard spaces ⋮
Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces ⋮
Strong convergence theorem by monotone hybrid algorithm for equilibrium problems, hemirelatively nonexpansive mappings, and maximal monotone operators ⋮
Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces ⋮
Iterative approximation of common attractive points of \((\alpha ,\beta )\)-generalized hybrid set-valued mappings ⋮
New inertial algorithm for solving split common null point problem in Banach spaces ⋮
A hybrid iterative scheme for equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces ⋮
Bregman distance and strong convergence of proximal-type algorithms ⋮
Existence and approximation of attractive points of the widely more generalized hybrid mappings in Hilbert spaces ⋮
Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space ⋮
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings ⋮
An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces ⋮
Strong convergence of an inexact proximal point algorithm in a Banach space ⋮
New iteration scheme for approximating a common fixed point of a finite family of mappings ⋮
The split common null point problem in Banach spaces ⋮
Iterative methods for generalized split feasibility problems in Hilbert spaces ⋮
\(\Delta\)-convergence for generalized hybrid mappings in CAT(0) spaces ⋮
Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications ⋮
Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces ⋮
Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces ⋮
Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces ⋮
Unnamed Item ⋮
Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces ⋮
Fixed points of a new class of pseudononspreading mappings ⋮
Inertial hybrid gradient method with adaptive step size for variational inequality and fixed point problems of multivalued mappings in Banach spaces ⋮
Inertial algorithm for solving split inclusion problem in Banach spaces ⋮
Ishikawa type mean convergence theorems for finding common fixed points of nonlinear mappings in Hilbert spaces ⋮
Strong Convergence Theorems by Hybrid Methods for Two Noncommutative Nonlinear Mappings in Banach Spaces ⋮
Unnamed Item ⋮
The split common fixed point problem for generalized demimetric mappings in two Banach spaces ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Convergence analysis for combination of equilibrium problems and k-nonspreading set-valued mappings ⋮
Convergence Theorems for Equilibrium Problems and Relatively Nonexpansive Multi-Valued Mappings in Banach Spaces ⋮
Strong convergence theorem for fixed points of relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Strong Convergence Theorems for Bregman Demigeneralized Mappings in Banach Spaces with Applications ⋮
Unnamed Item ⋮
Strong and weak convergence of Mann iteration of monotone α-nonexpansive mappings in uniformly convex Banach spaces ⋮
Strong convergence of projection algorithms for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces ⋮
The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces ⋮
Fixed point property for normally 2-generalized hybrid mappings ⋮
Weak convergence theorems for infinite families of extended generalized hybrid mappings in Banach spaces ⋮
Attractive points of further 2-generalized hybrid mappings in a complete CAT(0) space ⋮
Unnamed Item ⋮
A global optimality result in probabilistic spaces using control function ⋮
A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings ⋮
Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces ⋮
A synthetic algorithm for families of demicontractive and nonexpansive mappings and equilibrium problems
This page was built for publication: Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces