A convergence theorem for a common solution of f-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces

被引：0

作者：

Zegeye, Solomon Bekele ^{[1
]}

Zegeye, Habtu ^{[2
]}

Sangago, Mengistu Goa ^{[1
]}

Boikanyo, Oganeditse A. ^{[2
]}

机构：

[1] Univ Botswana, Fac Sci, Dept Math, Pvt Bag 00704, Gaborone, Botswana

[2] Botswana Int Univ Sci & Technol, Fac Sci, Dept Math & Stat Sci, Private Bag 16, Palapye, Botswana

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期

关键词：

Generalized mixed equilibrium problem; Variational inequality problem; f-pseudocontractive mapping; monotone mapping; reflexive Banach spaces; APPROXIMATION;

D O I：

10.22075/ijnaa.2022.25363.2995

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to construct an algorithm for approximating a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of f-fixed points of a finite family of f-pseudocontractive mappings and the set of solutions of a finite family of variational inequality problems for Lipschitz monotone mappings in real reflexive Banach spaces.

引用

页码：1069 / 1087

页数：19

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