A new algorithm for solving mixed equilibrium problem and finding common fixed points of Bregman strongly nonexpansive mappings

DOI10.11568/kjm.2018.26.4.777OpenAlexW2907333908MaRDI QIDQ5204470

Nader Biranvand, Vahid Darvish

Publication date: 4 December 2019

Full work available at URL: https://doi.org/10.11568/kjm.2018.26.4.777

zbMATH Keywords

fixed pointBanach spaceBregman projectionmixed equilibrium problemBregman distanceBregman strongly nonexpansive mapping

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems on manifolds (58C30)

Related Items

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex functions, monotone operators and differentiability.
• Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
• Regularized equilibrium problems with application to noncoercive hemivariational inequalities.
• Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
• Combined relaxation method for mixed equilibrium problems
• Mixed equilibrium problems and optimization problems
• An iterative row-action method for interval convex programming
• An iterative approach to quadratic optimization
• Equilibrium problems with applications to eigenvalue problems
• 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
• Generalized mixed quasi-equilibrium problems with trifunction
• Bregman distances, totally convex functions, and a method for solving operator equations 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
• Convergence theorems for Bregman strongly nonexpansive 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
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Level Sets and Continuity of Conjugate Convex Functions