半紧1－集压缩映射与广义集压缩映射组的某些不动点定理  

Some Fixed Point Theorems for Demi-Compact 1-Set-Contractive Mappings and a System of Generalized Set-Contraction Mappings

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》1996年第2期53-58,共6页Chinese Journal of Engineering Mathematics

摘　　要：在文［１～４］的基础上扩充了半紧１－集压缩映射在楔形上的不动点与Ａｘ＝μｘ的解的某些结果，还扩充了文［５］中广义集压缩映射组的不动点定理。主要结果是定理２～３、定理６、定理８～９。In this paper,we extend some fixed point theorems and the solution of Ax=μx in a wege for Demi-compact 1-set contractive mappings in Banach space on the basis of documents [1￣ 4].Infurther,we extend some fixed point theorems for a system of generalized set-contraction mappings in [5].The main results are theroem 2￣3,theorem 6 and theorem 8￣9.

关 键 词：集压缩映射 广义 不动点 楔形 ALTMAN定理 

分 类 号：O189.2[理学—数学]