上半连续集值1-集压缩映射的正不动点  

Positive Fixed Points for Upper Semicontinuous Set-valued 1-set-contractive Mapping

作　　者：魏曙光[1] 王开荣[1] 何光辉[1] 张谋[1] 

机构地区：[1]重庆大学数理学院,重庆400030

出　　处：《重庆大学学报（自然科学版）》2007年第6期134-136,共3页Journal of Chongqing University

摘　　要：利用上半连续集值1-集压缩映射的拓扑度以及上半连续集值1-集压缩映射的不动点定理,研究它在锥中的情形,即研究上半连续集值1-集压缩映射正不动点存在的边界条件。对上半连续集值1-集压缩映射的不动点定理在锥中进行了自然的推广,也是对单值1-集压缩映射的正不动点定理进行的一个自然的延伸。Using topological degree for upper semicontinuous set-valued 1-set-contractive mapping and the fixed point theorems for upper semicontinuous set-valued 1-set-contractive mapping, the boundary conditions of existing positive fixed points is studied for upper semicontinuous set-valued 1-set-contractive mapping. In fact, it is a natural conclusion in the cone for the fixed point theorems of upper semicontinuous set-valued 1-set-contractive mapping, and it is a natural extend for positive fixed point theorems of single-valued 1-set-contractive mapping.

关 键 词：集值1-集压缩映射 正不动点 锥 BANACH空间 上半连续 半紧 

分 类 号：O177[理学—数学]