APPROXIMATION OF FIXED POINTS FOR A SEMIGROUP OF BREGMAN QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：3

作者：

Liu, Liya ^{[1
]}

Tan, Bing ^{[2
]}

Latif, Abdul ^{[3
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China

[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 01期

关键词：

Fixed point; Halpern method; Bregman quasi-nonexpansive; Strong convergence; Banach space; STRONG-CONVERGENCE; PROJECTION ALGORITHM; EQUILIBRIUM PROBLEMS; ITERATIVE METHODS; CONVEXITY; THEOREMS;

D O I：

10.23952/jnva.5.2021.1.02

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the iterative scheme of the Halpern type for a commutative semigroup J = {S-lambda : lambda is an element of 2} of Bregman quasi-nonexpansive mappings on a closed and convex subset of a Banach space. A strong convergence theorem is established for finding a common fixed point solution. Our results extend and improve some related results in the current literature. In addition, we present numerical examples to illustrate the performance of our method in finite and infinite dimensional spaces.

引用

页码：9 / 22

页数：14

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