广义平衡问题与无限族k-严格伪压缩映象的强收敛定理  

Strong Convergence Theorem for a Generalized Equilibrium Problem and a Family of Infinte k-Strict Pseudo-Contractive Mappings

作　　者：刘敏[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644000

出　　处：《四川师范大学学报（自然科学版）》2011年第1期63-70,共8页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅青年基金(09ZB102)资助项目

摘　　要：在Hilbert空间中,大多数学者对平衡问题、非扩张映象不动点的问题做了广泛研究.在Hilbert空间的框架下,讨论了广义平衡问题的解集与无限族k-严格伪压缩映象公共不动点集公解的问题,给出了一个新的迭代序列,并在适当的条件下,用黏性逼近的方法,证明了一些强收敛定理.结果也推广和改进了最近一些人的主要结果.The equilibrium problems and the fixed point problem of nonexpansive mappings have been studied extensively by many authors in Hilbert spaces.In this paper,a new iterative scheme is introduce by using the viscosity approximation method for finding a common element of the set of solutions for a generalized equilibrium problems and the set of common fixed point for a family of infinite k-strict pseudo-contractive mappings in Hilbert spaces.Under suitable conditions,some strong convergence theorems are proved.The results presented in this paper extend and improve some recent results.

关 键 词：k-严格伪压缩映象 广义平衡问题 黏性逼近方法 连续单调映象 

分 类 号：H09[语言文字—语言学] H05