Brouwer-Schauder-Tychonoff不动点定理的进一步推广  

A Further Generalization of Brouwer-Schauder-Tychonoff Fixed Point Theorem

作　　者：侯吉成[1] 

机构地区：[1]烟台大学数学与信息科学系

出　　处：《数学学报（中文版）》2002年第5期987-990,共4页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10171043)

摘　　要：最近,Wu和Yuan将Brouwer-Schauder-Tychonoff不动点定理推广到H-空间.本文首先建立一个逼近选择定理,然后使用这个结果建立一个新的不动点定理,很大地改进和推广了Wu和Yuan的结果.Recently, Wu and Yuan in [1] extended Brouwer-Schauder-Tychonoff fixed point theorem to H- Spaces. The purpose of this paper is to establish a new fixed point theorem which improves on and generalizes Wu and Yuan's result in [1], by using a new approximation selection theorem for upper semicontinuous multivalued mappings.

关 键 词：上半连续 不动点 逼近选择 H-空间 

分 类 号：O177.91[理学—数学]