A common solution of f-fixed point and variational inequality problems in Banach spaces

被引：1

作者：

Zegeye, Habtu ^{[1
]}

Boikanyo, Oganeditse A. ^{[1
]}

机构：

[1] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Palapye, Botswana

来源：

OPTIMIZATION | 2023年 / 72卷 / 03期

关键词：

f-fixed point; f-pseudocontractive mapping; monotone mapping; semi-pseudocontractive mapping; variational inequality; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; ITERATIVE METHODS; MONOTONE MAPPINGS; APPROXIMATION; OPERATORS;

D O I：

10.1080/02331934.2021.1982939

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we construct a Halpern-type subgradient extragradient iterative algorithm which converges strongly to a common point of the f-fixed point set of a continuous f-pseudocontractive mapping and the solutions set of a variational inequality problem for Lipschitz monotone mapping in reflexive real Banach spaces. In addition, a numerical example is given to demonstrate the behaviour of the convergence of the algorithm. Our results improve, generalize and unify some related recent results in the literature.

引用

页码：737 / 762

页数：26

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