半序Banach空间中无界集上的不动点  

Fixed Points on Unbounded Sets in Semi-Ordered Banach Spaces

作　　者：惠淑荣[1] 张国伟[2] 

机构地区：[1]沈阳农业大学基础部,沈阳110161 [2]东北大学数学系,沈阳110006

出　　处：《吉林大学学报（理学版）》2003年第3期284-286,共3页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:69974008).

摘　　要：通过引入u0序有界开集的概念,利用无界集上全连续算子的不动点指数,在半序Ba-nach空间中,证明了无界集上全连续算子的锥拉伸与锥压缩不动点定理.In this paper is the concept of a u0 ordered bounded open set introduced. By virtue of the fixed point index for the completely continuous operator on an unbounded set, the fixed point theorem of cone expansion and compression for the completely continuous operator on an unbounded set is proved in semiordered Banach spaces.

关 键 词：半序BANACH空间 无界集 不动点 全连续算子 锥拉伸不动点定理 锥压缩不动点定理 有界开集 

分 类 号：O177.91[理学—数学]