STRONG CONVERGENCE THEOREMS FOR FINITE EQUILIBRIUM PROBLEMS AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES

作     者：Haipeng He Jianhua Huang Sheng Zhu 

作者机构：College of Math.and Computer Science Fuzhou University 

出 版 物：《Annals of Applied Mathematics》 (应用数学年刊（英文版）)

年 卷 期：2015年第31卷第4期

页      面：372-382页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Natural Science Foundation of Fujian Province(Grant No.2014J01008) 

主　　题：equilibrium problem Bregman totally quasi-asymptotically nonex-pansive mapping Bregman distance reflexive Banach space 

摘      要：In this paper, we propose a new hybrid iterative scheme for finding a common solution to a finite of equilibrium problems 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.