楔形上半紧1-集压缩映射的Altman定理  

DEMI COMPACT 1-SET CONTRACTIVE MAPPINGS FOR ALTMAN′S THEOEM IN A WEDGE

作　　者：陈宁[1] 

机构地区：[1]西南工学院基础科学系

出　　处：《河南科学》1997年第1期11-17,共7页Henan Science

摘　　要：本文在［１］－［５］的基础上给出Ｂａｎａｃｈ空间中楔形上具半紧１－集压缩映射Ａ的Ａｘ＝μｘ的解的某些结果。再者，我们扩充了文［３］－［４］中某些定理与具Ａｌｔｍａｎ型行列式的改进结果。主要结果是定理１与定理３、定理６与定理１１。In this paper, we give some results for the solution of Ax=μx in a wedge with a Demi Compact 1 set Contractive mapping A in a Banach space on the basis of documents -. Infurther, we extend some theorems and imprevement some results in - with a type of Altman′s Determinant. The main results are theorem 1 and Theorem 3, theorem 6 and theorem 9.

关 键 词：集压缩映射 ALTMAN定理 楔形 巴拿赫空间 

分 类 号：O177.91[理学—数学]