P_1紧与半紧1－集压缩映射的Altman定理  

P_1-Compact and Demi-compact 1-set-contractive Mappings for Altman's Theorem

作　　者：陈继乾[1] 

机构地区：[1]西南工学院基础科学系

出　　处：《工程数学学报》1994年第2期118-122,共5页Chinese Journal of Engineering Mathematics

摘　　要：本文于［１］－［６］的基础上在Ｂａｎａｃｈ空间中关于Ｐ１－紧与半紧１－集压缩映射的不动点与方程Ａｘ＝μｘ的解以扩充Ａｌｔｍａｎ定理的某些结果既提到Ａ－Ｐｒｏｐｅｒ算子的反演算子的不动点，也提到楔形上Ａｌｔｍａｎ定理其主要结果是定理１、定理２与定理９、定理１２本文是［３］的继续。Abstract In this paper,we extend some results of Altman's theorem on the basis of documents[1]-[6].We get some fixed point theorems for P1-compact l-set contractive mappings.Infurther,we consoder the fixed point of the A-proper reciprocal operators and extend the Alltman's theorem in a Wedge.This paper is continuously by[3].The main results arc theorem 1-2,theorem 9 and theorem 12.

关 键 词：不动点 ALTMAN定理 压缩映射 

分 类 号：O189.2[理学—数学]