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http://dx.doi.org/10.11568/kjm.2018.26.4.777

A NEW ALGORITHM FOR SOLVING MIXED EQUILIBRIUM PROBLEM AND FINDING COMMON FIXED POINTS OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS  

Biranvand, Nader (Faculty of Sciences, Imam Ali University)
Darvish, Vahid (Faculty of Sciences, Imam Ali University)
Publication Information
Korean Journal of Mathematics / v.26, no.4, 2018 , pp. 777-798 More about this Journal
Abstract
In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.
Keywords
Banach space; Bregman projection; Bregman distance; Bregman strongly nonexpansive mapping; fixed point; mixed equilibrium problem;
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