A convergence theorem for solving generalized mixed equilibrium problems and finding fixed points of a weak Bregman relatively nonexpansive mappings in Banach spaces
From MaRDI portal
Publication:2141419
DOI10.1007/s40306-021-00438-xOpenAlexW3174874485MaRDI QIDQ2141419
Nader Biranvand, Anchalee Kaewcharoen, Kittisak Jantakarn, Vahid Darvish
Publication date: 25 May 2022
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.02246
fixed pointBanach spaceBregman projectiongeneralized mixed equilibrium problemBregman distanceweak Bregman relatively nonexpansive mapping
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point theorems on manifolds (58C30) Convexity of real functions of several variables, generalizations (26B25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence theorem for a system of generalized mixed equilibrium problems and finite family of Bregman nonexpansive mappings in Banach spaces
- A projection method for solving nonlinear problems in reflexive Banach spaces
- Convex functions, monotone operators and differentiability.
- An iterative row-action method for interval convex programming
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Generalized mixed quasi-equilibrium problems with trifunction
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems in Reflexive Banach Spaces
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Re-examination of Bregman functions and new properties of their divergences
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Generalized Projection Operators in Banach Spaces: Properties and Applications