Convergence Theorem of Hybrid Iterative Algorithm for Equilibrium Problems and Fixed Point Problems of Finite Families of Uniformly Asymptotically Nonexpansive Semigroups  

作　　者：Hongbo Liu Yi Li 

机构地区：[1]School of Science, Southwest University of Science and Technology, Mianyang, China

出　　处：《Advances in Pure Mathematics》2014年第6期244-252,共9页理论数学进展（英文）

摘　　要：Throughout this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of common fixed points of a finite family of uniformly asymptotically nonexpansive semigroups and the set of solutions of an equilibrium problem in the framework of Hilbert spaces. We then prove the strong convergence theorem with respect to the proposed iterative algorithm. Our results in this paper extend and improve some recent known results.Throughout this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of common fixed points of a finite family of uniformly asymptotically nonexpansive semigroups and the set of solutions of an equilibrium problem in the framework of Hilbert spaces. We then prove the strong convergence theorem with respect to the proposed iterative algorithm. Our results in this paper extend and improve some recent known results.

关 键 词：HYBRID Iterative Algorithm UNIFORMLY ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS EQUILIBRIUM Problem Common Fixed Point 

分 类 号：O1[理学—数学]