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

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.