A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method

被引：2

作者：

Orouji, Bijan ^{[1
]}

Soori, Ebrahim ^{[1
]}

O'Regan, Donal ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Lorestan Univ, Dept Math, POB 465, Khorramabad, Lorestan, Iran

[2] Natl Univ Ireland, Sch Math, Stat, Galway, Ireland

[3] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

FIXED-POINT THEOREMS; NONLINEAR MAPPINGS; NONEXPANSIVE-MAPPINGS; CONVEXITY;

D O I：

10.1155/2021/9551162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using a new shrinking projection method and new generalized k-demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite family of Bregman k-demimetric mappings, and common zero points of a finite family of Bregman inverse strongly monotone mappings in a reflexive Banach space. To the best of our knowledge, such a theorem for Bregman k-demimetric mapping is the first of its kind in a Banach space. This manuscript is online on arXiv by the link .</p>

引用

页数：11

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