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Bregman弱相对非扩张映象与均衡问题的强收敛定理

Convergence theorems for a common solution of Bregman weak relatively nonexpansive mappings and equilibrium problem

作者:朱胜(福州大学数学与计算机科学学院);黄建华(福州大学数学与计算机科学学院);万丙晟(福建教育学院报刊社)

Author:ZHU Sheng(College of Mathematics and Computer Science, Fuzhou University);HUANG Jian-Hua(College of Mathematics and Computer Science, Fuzhou University);WAN Bing-Sheng(Newspapers and Periodicals Offices, Fujian Institute of Education)

收稿日期:2015-06-02          年卷(期)页码:2016,53(3):471-477

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:均衡问题;Bregman弱相对非扩张非扩张映象;Bregman距离

Key words:equilibrium problem; Bregman weak relatively nonexpansive mappings; Bregman distance;

基金项目:省自然科学基金

中文摘要

摘要:在自反的Banach空间中,对可数族Bregman弱相对非扩张映象的不动点集与均衡问题解集的公共元,引入一种新的混合迭代算法.在对参数进行适当的限制后,证明了此迭代算法产生的序列具有强收敛性.

英文摘要

Abstract: In this paper, we propose a new hybrid iterative scheme for finding a common solution to equilibrium problem and fixed point of Bregman weak relatively nonexpansive mappings in reflexive Banach spaces. Moreover, we prove the strong convergence theorems for the sequences produced by the methods under some suitable assumptions.

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