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

被引：1

作者：

Biranvand, Nader ^{[1
]}

Darvish, Vahid ^{[1
]}

机构：

[1] Imam Ali Univ, Fac Sci, Tehran, Iran

来源：

KOREAN JOURNAL OF MATHEMATICS | 2018年 / 26卷 / 04期

关键词：

Banach space; Bregman projection; Bregman distance; Bregman strongly nonexpansive mapping; fixed point; mixed equilibrium problem;

D O I：

10.11568/kjm.2018.26.4.777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：777 / 798

页数：22

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