A new algorithm for mixed equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
Vahid Darvish
TL;DR
This paper introduces a novel iterative algorithm for finding common fixed points of Bregman strongly nonexpansive mappings and solutions to mixed equilibrium problems in Banach spaces, with proven strong convergence.
Contribution
The paper presents a new iterative method for mixed equilibrium problems and Bregman strongly nonexpansive mappings in Banach spaces, with convergence analysis.
Findings
Proposed an iterative algorithm with strong convergence.
Established convergence to common fixed points.
Applied to mixed equilibrium problems in Banach spaces.
Abstract
In this paper, we study a new iterative method for a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the frame work of reflexive real Banach spaces. Moreover, we prove the strong convergence theorem for finding common fixed points with the solutions of a mixed equilibrium problem.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Advanced Optimization Algorithms Research