Strong convergence theorem for a system of generalized mixed equilibrium problems and finite family of Bregman nonexpansive mappings in Banach spaces
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Publication:522408
DOI10.1007/s12597-015-0245-2zbMath1360.90246OpenAlexW2210789412MaRDI QIDQ522408
Publication date: 28 April 2017
Published in: Opsearch (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12597-015-0245-2
fixed pointBanach spaceBregman mappingsystem of generalized mixed equilibriumsystem of mixed variational inequality
Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)
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Cites Work
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- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- An iterative row-action method for interval convex programming
- Equilibrium programming using proximal-like algorithms
- An iterative approach to quadratic optimization
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Convergence theorems for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Strong convergence theorem for generalized mixed equilibrium problems and bregman nonexpansive mapping in Banach spaces
- EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
