The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings
type: Item
instance of: scholarly article
title: The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings
zbMATH Open document ID: 1390.47023
DOI: 10.1186/1687-1812-2011-9
author: Siwaporn Saewan
author: Poom Kumam
published in: Fixed Point Theory and Applications
publication date: 2013-05-27T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6166639
zbMATH Keywords: generalized mixed equilibrium problem
zbMATH Keywords: asymptotically quasi-\(\phi\)-nonexpansive mapping
zbMATH Keywords: strong convergence
zbMATH Keywords: variational inequality
zbMATH Keywords: Banach spaces
Wikidata QID: Q59269950
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1812-2011-9
OpenAlex ID: W2124698506
cites work: Q4366516
cites work: Existence theory for finite-dimensional pseudomonotone equilibrium problems
cites work: Handbook of generalized convexity and generalized monotonicity
cites work: From scalar to vector equilibrium problems in the quasimonotone case
cites work: A hybrid approximation method for equilibrium and fixed point problems for a family of infinitely nonexpansive mappings and a monotone mapping
cites work: A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
cites work: Q4681445
cites work: Equilibrium programming using proximal-like algorithms
cites work: Q4581778
cites work: An extragradient method for relaxed cocoercive variational inequality and equilibrium problems
cites work: A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping
cites work: A new hybrid iterative method for solution of equilibrium problems and fixed point problems for an inverse strongly monotone operator and a nonexpansive mapping
cites work: A hybrid iterative scheme for equilibrium problems and fixed point problems of asymptotically \(k\)-strict pseudo-contractions
cites work: A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
cites work: Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
cites work: 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
cites work: Q3434791
cites work: Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
cites work: Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
cites work: Q4931955
cites work: Q4801822
cites work: On the Maximality of Sums of Nonlinear Monotone Operators
cites work: Q2996668
cites work: A new iterative algorithm of solution for equilibrium problems, variational inequalities and fixed point problems in a Hilbert space
cites work: Q4931934
cites work: A general iterative scheme for nonexpansive mappings and inverse-strongly monotone mappings
cites work: An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces
cites work: Q3561200
cites work: A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
cites work: Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
cites work: Generalized Projection Algorithms for Nonlinear Operators
cites work: Q4881794
cites work: Inequalities in Banach spaces with applications
cites work: Q3999276
cites work: Convex analysis \& approximation of fixed points
cites work: Q4894797
cites work: Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
cites work: Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
cites work: Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
cites work: Q3506037
cites work: Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
cites work: Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
cites work: Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
cites work: Weak convergence of a projection algorithm for variational inequalities in a Banach space
cites work: Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
cites work: Strong convergence theorems for solving equilibrium problems and fixed point problems of \(\xi \)-strict pseudo-contraction mappings by two hybrid projection methods
cites work: Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
cites work: Q4581777
cites work: Convergence theorems of a hybrid algorithm for equilibrium problems
cites work: Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces
cites work: Q4581780
cites work: Q4581781
cites work: Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces
cites work: Shrinking projection method of common solutions for generalized equilibrium quasi-\(\varphi \)-nonexpansive mapping and relatively nonexpansive mapping
cites work: The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces
cites work: Q3059809
cites work: On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
cites work: A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
cites work: Strong Convergence of a Proximal-Type Algorithm in a Banach Space

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings (cites work)
cites work: Q3711012

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings (cites work)
cites work: Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings (cites work)
cites work: Strong convergence of an iterative sequence for maximal monotone operators in a Banach space

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings (cites work)
cites work: Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings (cites work)
cites work: Generalized mixed equilibrium problem in Banach spaces