机构地区: 赣南师范学院数学与计算机科学学院
出 处: 《纺织高校基础科学学报》 2011年第4期525-529,共5页
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.