非扩张映射不动点的粘性逼近方法  

Viscosity Approximation Methods for Fixed Point of Nonexpansive Mappings

作　　者：唐艳[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学的实践与认识》2013年第6期267-271,共5页Mathematics in Practice and Theory

基　　金：重庆市自然科学基金资助项目(CSTC;2012jjA00039)

摘　　要：在具有一致Gateaux可微范数的Banach空间中,建立了一个改进的非扩张映射不动点的粘性逼近方法,并在一定条件下证明了该方法所得到的迭代序列的强收性.本文所得结果扩展并统一了部分文献的结果.Based on the viscosity iterative scheme,the modified iterative sequence for the fixed point of nonexpansive mappings has been established in a real Banach space with a uniformly Gateaux differentiable norm. Under some suitable conditions,we present the strong convergence of the iterative sequence. This method can extend and unify the results of some literature.

关 键 词：非扩张映射 不动点 粘性逼近方法 强收敛 

分 类 号：O177.91[理学—数学]