CONVERGENCE ANALYSIS OF AN ITERATIVE ALGORITHM FOR BREGMAN RELATIVELY NONEXPANSIVE MAPPINGS AND BREGMAN NONSPREADING MAPPINGS IN REFLEXIVE BANACH SPACES

被引：0

作者：

She, Yaoyao ^{[1
]}

Chen, Rudong ^{[1
]}

Yin, Tzu-Chien ^{[2
]}

机构：

[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 12期

关键词：

Bregman relatively nonexpansive mappings; Bregman nonspreading mappings; Bregman-Opial property; reflexive Banach spaces; weak convergence; WEAK-CONVERGENCE; FIXED-POINTS; THEOREMS; SCHEME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate iterative methods for finding fixed points of Bregman relatively nonexpansive mappings and Bregman nonspreading mappings in Banach spaces. We construct an iterative algorithm which can be used to find fixed points of Bregman relatively nonexpansive mappings and Bregman nonspreading mappings in the framework of reflexive Banach spaces. We provide convergence analysis of the proposed algorithm. Our results improve and extend many known results in the literature.

引用

页码：2723 / 2732

页数：10

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