Strong convergence theorems for equilibrium problem and bregman totally quasi-asymptotically nonexpansive mapping in banach spaces

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• 作者：Sheng ZHU ^{jxsrsheng@163.com" class="auth_mail" title="E-mail the corresponding author} ; Jianhua HUANG ; ^{fjhjh57@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：equilibrium problem ; Bregman totally quasi-asymptotically nonexpansive mapping ; Bregman distance ; reflexive Banach space
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：36
• 期：5
• 页码：1433-1444
• 全文大小：337 K

文摘

In this paper, we propose a new hybrid iterative scheme for finding a common solution of an equilibrium problem and fixed point of Bregman totally quasi-asymptotically nonexpansive mapping in reflexive Banach spaces. Moreover, we prove some strong convergence theorems under suitable control conditions. Finally, the application to zero point problem of maximal monotone operators is given by the result.