Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
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Publication:2790879
DOI10.1080/02331934.2015.1020942zbMath1338.47101OpenAlexW2086294064WikidataQ59306902 ScholiaQ59306902MaRDI QIDQ2790879
Poom Kumam, Kriengsak Wattanawitoon, Wiyada Kumam, Suthep Suantai, Uamporn Witthayarat
Publication date: 8 March 2016
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2015.1020942
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- An iterative row-action method for interval convex programming
- Equilibrium programming using proximal-like algorithms
- An iterative approach to quadratic optimization
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- 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
- Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
- Products of Finitely Many Resolvents of Maximal Monotone Mappings 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
- Bregman Monotone Optimization Algorithms
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Halpern's Iteration for Bregman Relatively Nonexpansive Mappings in Banach Spaces
