Banach空间中压缩映射的新不动点定理  

New Fixed Point Theorems of Contraction Mappings in Banach Spaces

作　　者：许绍元[1] 

机构地区：[1]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范学院学报》2007年第6期1-4,共4页Journal of Gannan Teachers' College(Social Science(2))

基　　金：江西省自然科学基金项目(No.0611005)

摘　　要：利用压缩映射的非线性二择一性质,得到了Banach空间中压缩映射的若干新不动点定理,从而推广了著名的压缩映射Altman定理、Roth定理和Petryshyn定理.In this paper, by means of nonlinear alternative for contraction mappings, some new fixed point theorems of contraction 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：压缩映射 非线性二择一 不动点 BANACH空间 

分 类 号：O177.91[理学—数学]