A PARALLEL ITERATIVE METHOD FOR A FINITE FAMILY OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS IN REFLEXIVE BANACH SPACES
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Publication:5108985
DOI10.4134/JKMS.j190268OpenAlexW3116331159MaRDI QIDQ5108985
Truong Minh Tuyen, Jong Kyu Kim
Publication date: 7 May 2020
Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO202012941167337.pdf
Bregman projectionBregman distanceBregman strongly nonexpansive mappingBregman firmly nonexpansive mapping
Variational inequalities (49J40) Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)
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Cites Work
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- Strong convergence theorem for a system of generalized mixed equilibrium problems and finite family of Bregman nonexpansive mappings in Banach spaces
- An iteration method for common solution of a system of equilibrium problems in Hilbert spaces
- A projection method for solving nonlinear problems in reflexive Banach spaces
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- 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
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Parallel iterative methods for Bregman strongly nonexpansive operators in reflexive Banach spaces
- A new iterative method for the set of solutions of equilibrium problems and of operator equations with inverse-strongly monotone mappings
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Bregman weak relatively nonexpansive mappings in Banach spaces
- A strong convergence theorem for Bregman quasi-noexpansive mappings with applications
- 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
- Strong convergence of an iterative method for nonexpansive and accretive operators
- A new iterative algorithm of pseudomonotone mappings for equilibrium problems in Hilbert spaces
- Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems 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
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Bregman Monotone Optimization Algorithms
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- A Krasnoselskii-type algorithm for approximating solutions of variational inequality problems and convex feasibility problems
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Parallel iterative methods for solving systems of generalized mixed equilibrium problems in reflexive Banach spaces
- A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
- Level Sets and Continuity of Conjugate Convex Functions
- EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
- Fixed points of nonexpanding maps