Hilbert空间中非扩张映射的新不动点定理  

New Fixed Point Theorems of Nonexpansive Mappings in Hilbert Spaces

作　　者：许绍元[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：《河北师范大学学报（自然科学版）》2007年第6期718-721,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10571185);江西省自然科学基金(0611005)

摘　　要：利用非扩张映射的非线性二择一性质,得到了Hilbert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 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：非扩张映射 非线性二择一 不动点 HILBERT空间 

分 类 号：O177.91[理学—数学]