混合平衡问题组及不动点问题公解的算法  

Algorithms of Common Solutions for Mixed Equilibrium Problems and Fixed Point Problems

作　　者：朱浸华[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644007

出　　处：《四川师范大学学报（自然科学版）》2012年第5期656-662,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅青年基金(11ZB146)资助项目;宜宾学院科学研究基金(2011Z07)

摘　　要：最近,文献(J.Comput.Appl.Math.,2008,214:186-201.)讨论了关于有限个非扩张映象的解集与一个混合平衡问题的不动点集的公共元的迭代序列.受他们的启发,介绍了一种新的迭代算法,在Hilbert空间的框架下,用以寻求混合平衡问题组的解集与无限族的非扩张映象的不动点集的公共元.在适当条件下,逼近于这一公共元的强收敛定理被证明.所得结果是新的,它改进和推广了最近一些人的最新结果.Very recently, reference （ J. Comput. Appl. Math. ,2008,214 ： 186 - 201. ） introduced an iterative algorithm for find- ing a common element of a mixed equilibrium problem and the set of common fixed points for an infinite of nonexpansive mappings. Mo- tivated and inspired by them, in this paper we present an iterative scheme for finding a common element of the set of solutions of a sys- tem of mixed equilibrium problems and the set of common fixed point for a family of infinitely nonexpansive mappings in Hilbert spaces. Under suitable conditions, the strong convergence theorem for approximating to this common element is proved. The results given in the article are new which extend and improve some recent results,

关 键 词：混合平衡问题 不动点 无限族的非扩张映象 η-强凸函数 

分 类 号：O177.9[理学—数学]