一致凸Banach空间中非扩张映射的新不动点定理  

New fixed point theorems of nonexpansive mappings in uniformly convex banach spaces

作　　者：许绍元[1] 马丽[1] 谢显华[1] 

机构地区：[1]赣南师范学院数学与计算机学院,江西赣州341000

出　　处：《纺织高校基础科学学报》2011年第4期525-529,共5页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10961003)

摘　　要：利用非扩张映射的非线性二择一性质,得到了一致凸Banach空间中非扩张映射的若干新不动点定理,从而推广了著名的非扩张映射Altman定理、Roth定理和Petryshyn定理.By means of nonlinear alternative for nonexpansive mappings,some new fixed point theorems of nonexpansive mappings are obtained.As a result,the famous Altman′s theorem,Roth′s theorem and Petryshyn theorem for such class of mappings are generalized.

关 键 词：非扩张映射 非线性二择一 不动点 一致凸BANACH空间 

分 类 号：O177.91[理学—数学]