Hybrid Projection Methods for Bregman Totally Quasi-D-Asymptotically Nonexpansive Mappings

被引：0
作者：
Ren-Xing Ni
Ching-Feng Wen
机构：
[1] Shaoxing University,Department of Mathematics
[2] Kaohsiung Medical University,Center for Fundamental Science
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2018年 / 41卷
关键词：
Bregman totally quasi-; -asymptotically nonexpansive mapping; Generalized mixed equilibrium problem; Bregman distance function; Hybrid projection method; Fixed point ; Reflexive Banach space; Primary 47H10; Secondary 46T99; 52A41;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, a new iterative scheme by hybrid projection method is proposed for a finite family of Bregman totally quasi-D-asymptotically nonexpansive mappings. Conditions ensuring strong convergence are imposed to common elements of set of common fixed points of the mappings and set of common solutions to a system of generalized mixed equilibrium problems in a reflexive Banach space. These results extend many important recent ones in the literature.
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页码：807 / 836
页数：29
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