FC-空间上的不动点定理和相交定理及其应用  

Fixed Point Theorems and Intersection Theorems on FC-spaces with Applications

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《应用泛函分析学报》2010年第3期228-233,共6页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10361005);延边大学科研项目(2008;No.6)

摘　　要：介绍了没有凸结构和线性结构的有限连续拓扑空间(简称为FC-空间);得到了若干个非紧的FC-空间上不动点定理的开[闭]表现形式并建立了FC-空间上的连续选择定理.应用以上结果,在非常弱的假设下得出若干的相交定理和重合点定理,改进和推广了文献中的相应结果.A new concept of finite continuous topological spaces（in short,FC-space） without convexity structure and linear structure was introduced.Some open[resp.closed]versions of fixed point theorem in noncompact FC-spaces were obtained and a continuous selection theorem was established in FC-spaces.By applying the fixed point theorem and continuous selection theroem,some intersection theorems and coincidence point theorems were proved under much weak assumptions.Our results improve and generalize the corresponding conclusions in the recent literatures.

关 键 词：FC-空间 FC-子空间 KKM映射 可加子集 P-KKM映射 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]