An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping
type: Item
instance of: scholarly article
title: An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping
zbMATH Open document ID: 1338.47115
published in: Applied Mathematics and Computation
publication date: 2016-06-20T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6595624
zbMATH Keywords: Bregman distance function
zbMATH Keywords: Bregman inverse strongly monotone mapping
zbMATH Keywords: Bregman relatively nonexpansive mapping
zbMATH Keywords: fixed points of mappings
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: j.amc.2014.08.071
OpenAlex ID: W1994215400
cites work: Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
cites work: Solution methods for variational inequalities with coupled constraints
cites work: ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
cites work: Q5580053
cites work: Q4503250
cites work: Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
cites work: Totally convex functions for fixed points computation and infinite dimensional optimization
cites work: An iterative row-action method for interval convex programming
cites work: Q4273942
cites work: Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
cites work: Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
cites work: Q5471308
cites work: Q4110807
cites work: A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping
cites work: Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
cites work: Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
cites work: Bregman strongly nonexpansive operators in reflexive Banach spaces
cites work: Bregman weak relatively nonexpansive mappings in Banach spaces
cites work: Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
cites work: Convex functions, monotone operators and differentiability.
cites work: Q4894797
cites work: Q3654221
cites work: Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
cites work: Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
cites work: Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
cites work: Three strong convergence theorems regarding iterative methods for solving equilibrium problems in reflexive Banach spaces
cites work: Q5737280
cites work: Weak convergence theorems for nonexpansive mappings and monotone mappings
cites work: Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
cites work: Another control condition in an iterative method for nonexpansive mappings
cites work: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
cites work: Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications
cites work: Q3149262
cites work: Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings
cites work: Strong convergence theorems for a common zero of a countably infinite family of \(\alpha \)-inverse strongly accretive mappings
cites work: Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
cites work: Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces
cites work: A hybrid approximation method for equilibrium, variational inequality and fixed point problems
cites work: A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
DOI: 10.1016/J.AMC.2014.08.071
author: H. Zegeye
author: Nazeer Shahzad
description: scientific article; zbMATH DE number 6595624