ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS  

作　　者：张石生 

机构地区：[1]Department of Mathematics Yibin University,Yibin 644007,Sichuan Province,P. R.China [2]Department of Mathematics, Sichuan University, Chengdu 610064,Sichuan Province, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第7期883-889,共7页应用数学和力学（英文版）

基　　金：the Natural Science Foundation of Yibin University （No.2005Z3）

摘　　要：The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.

关 键 词：sequence of nonexpansive mappings viscosity approximation common fixed point demi-closed principle weakly sequentially continuous duality mapping normalized duality mapping 

分 类 号：O177.91[理学—数学]