Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces
type: Item
instance of: scholarly article
title: Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces
zbMATH Open document ID: 1401.90238
author: Dang Van Hieu
author: Jean-Jacques Strodiot
published in: Journal of Fixed Point Theory and Applications
publication date: 2018-10-30T00:00:00Z
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 6969122
zbMATH Keywords: equilibrium problem
zbMATH Keywords: fixed point problem
zbMATH Keywords: extragradient method
zbMATH Keywords: linesearch method
zbMATH Keywords: monotone bifunction
zbMATH Keywords: pseudomonotone bifunction
zbMATH Keywords: quasi nonexpansive mapping
MaRDI profile type: Publication
full work available at URL: s11784-018-0608-4
OpenAlex ID: W2886105156
cites work: Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
cites work: Nonlinear Ill-posed Problems of Monotone Type
cites work: MULTI-STEP ALGORITHMS FOR SOLVING EQUILIBRIUM PROBLEMS
cites work: A projection method for approximating fixed points of quasi nonexpansive mappings without the usual demiclosedness condition
cites work: Q4366516
cites work: Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
cites work: Q4163944
cites work: Geometric properties of Banach spaces and nonlinear iterations
cites work: A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
cites work: The subgradient extragradient method for solving variational inequalities in Hilbert space
cites work: Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
cites work: Q3999276
cites work: Auxiliary problem principle and decomposition of optimization problems
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Equilibrium programming using proximal-like algorithms
cites work: Q3322631
cites work: Fixed points of nonexpanding maps
cites work: An inertial-like proximal algorithm for equilibrium problems
cites work: PARALLEL EXTRAGRADIENT-PROXIMAL METHODS FOR SPLIT EQUILIBRIUM PROBLEMS
cites work: Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
cites work: Modified hybrid projection methods for finding common solutions to variational inequality problems
cites work: An extension of hybrid method without extrapolation step to equilibrium problems
cites work: Hybrid projection methods for equilibrium problems with non‐Lipschitz type bifunctions
cites work: A subgradient-type method for the equilibrium problem over the fixed point set and its applications
cites work: Strong Convergence of a Proximal-Type Algorithm in a Banach Space
cites work: Equilibrium models and variational inequalities.
cites work: Q4110807
cites work: A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
cites work: Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
cites work: Q5314968
cites work: Gap functions for equilibrium problems
cites work: A strong convergence theorem for relatively nonexpansive mappings in a Banach space
cites work: Q4244155
cites work: Convergence of an adaptive penalty scheme for finding constrained equilibria
cites work: Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
cites work: Hybrid methods for solving simultaneously an equilibrium problem and countably many fixed point problems in a Hilbert space
cites work: Extragradient algorithms extended to equilibrium problems¶
cites work: Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
cites work: Strong convergence theorems for resolvents of accretive operators in Banach spaces
cites work: Three strong convergence theorems regarding iterative methods for solving equilibrium problems in reflexive Banach spaces
cites work: Q3888020
cites work: A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems
cites work: A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces
cites work: Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
cites work: Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
cites work: Q3679784
cites work: Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
cites work: On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space
cites work: Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces
cites work: Inequalities in Banach spaces with applications
cites work: Another control condition in an iterative method for nonexpansive mappings
cites work: A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
DOI: 10.1007/S11784-018-0608-4
description: scientific article; zbMATH DE number 6969122