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

STRONG CONVERGENCE THEOREMS FOR FINITE EQUILIBRIUM PROBLEMS AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES
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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. 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.
出处 《Annals of Applied Mathematics》 2015年第4期372-382,共11页 应用数学年刊(英文版)
基金 supported by the Natural Science Foundation of Fujian Province(Grant No.2014J01008)
关键词 equilibrium problem Bregman totally quasi-asymptotically nonex-pansive mapping Bregman distance reflexive Banach space equilibrium problem Bregman totally quasi-asymptotically nonex-pansive mapping Bregman distance reflexive Banach space
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