锥壳中严格集压缩映射的新不动点定理  

New Fixed Point Theorems for Continuous k-set Contraction(k<1) in Conical Shells

作　　者：谢显华[1] 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：《信阳师范学院学报（自然科学版）》2011年第4期440-443,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(10961003)

摘　　要：利用锥壳中严格集压缩映射的一个基本不动点定理,在适当的边界条件下,不仅得到了锥壳中严格集压缩映射的新不动点定理,而且还得到了锥壳中严格集压缩映射的Altman定理、Roth定理和Petryshyn定理及其各种推广形式.Based on a basic resuh on compact and continuous mappings in conical shells, some new fixed point theorems for compact and continuous mappings in conical shells are obtained. The Altman＇s theorem, Roth＇s theorem, Petryshyn theorem and their different forms for such class of mappings are obtained and generalized.

关 键 词：锥壳 严格集压缩映射 不动点 BANACH空间 

分 类 号：O177.91[理学—数学]