On the generalized Bregman projection operator in reflexive Banach spaces

被引：4

作者：

Eskandani, G. Zamani ^{[1
]}

Azarmi, S. ^{[1
]}

Raeisi, M. ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2020年 / 22卷 / 01期

关键词：

Bregman distance; generalized Bregman f-projection; Bregman relatively nonexpansive mappings; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; TOTAL CONVEXITY; ALGORITHM; RESOLVENTS; POINTS;

D O I：

10.1007/s11784-019-0749-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the generalized Bregman f-projection operator in reflexive Banach spaces. After providing some properties of the generalized Bregman f-projection operator, we propose an iterative algorithm to finding a common fixed point of a finite family of Bregman relatively nonexpansive mappings in reflexive Banach spaces using the generalized Bregman f-projection operator. An application of our algorithm to finding a common zero of a finite family of maximal monotone operators will also be exhibited.

引用

页数：21

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