Convergence results for a common solution of a finite family of equilibrium problems and quasi-Bregman nonexpansive mappings in Banach space

DOI10.1155/2016/2752158zbMath1371.47013arXiv1706.07302OpenAlexW3101284586WikidataQ59129253 ScholiaQ59129253MaRDI QIDQ2405830

Bashir Ali, Godwin Chidi Ugwunnadi

Publication date: 26 September 2017

Published in: Journal of Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07302

zbMATH Keywords

iterative processequilibrium problemcommon fixed pointsfinite family of quasi-Bregman nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Solution of generalized mixed equilibrium and common fixed point problems for Bregman demigeneralized mappings ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence theorems for Bregman \(W\)-mappings with applications to convex feasibility problems in Banach spaces
• 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
• Approximation of fixed points of weak Bregman relatively nonexpansive mappings in Banach spaces
• Convex functions, monotone operators and differentiability.
• Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• An iterative row-action method for interval convex programming
• Totally convex functions for fixed points computation and infinite dimensional optimization
• Convergence theorems for right Bregman strongly nonexpansive mappings in reflexive Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Bregman weak relatively nonexpansive mappings in Banach spaces
• Weak convergence theorems for Bregman relatively nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
• Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
• Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
• Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
• Another control condition in an iterative method for nonexpansive mappings
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• Gradients of Convex Functions

This page was built for publication: Convergence results for a common solution of a finite family of equilibrium problems and quasi-Bregman nonexpansive mappings in Banach space