On split equality equilibrium, monotone variational inclusion and fixed point problems in Banach spaces

被引：4

作者：

Godwin, Emeka Chigaemezu ^{[1
]}

Abass, Hammed Anuoluwapo ^{[1
,2
]}

Izuchukwu, Chinedu ^{[1
]}

Mewomo, Oluwatosin Temitope ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[2] NRF, DSI, Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

Pseudomonotone equilibrium problem; monotone variational inclusion problem; Bregman relatively nonexpansive mapping; resolvent operators; anti-resolvent operators; fixed point problem; ITERATIVE METHODS; NONEXPANSIVE OPERATORS; FEASIBILITY; ALGORITHM; CONVEX; INEQUALITIES; PROJECTION; MAPPINGS;

D O I：

10.1142/S179355712250139X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose and study a new algorithm for finding a common element of the sets of solutions of split equality pseudomonotone equilibrium, split equality monotone variational inclusion and fixed point problems for Bregman relatively nonexpansive mappings in p-uniformly convex and uniformly smooth Banach spaces. Our iterative method uses stepsize.s which do not require prior knowledge of the operator norm. We apply our result to solve split equality variational inequality and split equality convex minimization problems. The result present in this paper unifies and extends several existing results in the literature.

引用

页数：29

共 60 条

[1] Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces [J].