摘要
我们得到了H-空间闭(开)覆盖性质的几个定理,改进和推广了Sperner.Klee,Alexandroff-Pasynkoff,Berge,Ghouila-Houri,Danzer-Grunbaum-Klee,Ky Fan,Shih-Tan,Horvath和Lassonde等人的相应结果.作为应用,我们对l.c.-空间内的下半连续集值映象证明了一个几乎不动点定理并且推广吉洪诺夫不动点定理到l.c.-空间.这些定理改进了Ky Fan和Horvath的相应结果.
Several theorems on closed (esp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner.Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grtinbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in I, c. -spaces and a generalization of Tychonoff's fixed point theorem are proved in I.e.-spaces which improve those results of Ky Fan and Horvath.
出处
《应用数学和力学》
CSCD
北大核心
1993年第12期1025-1033,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
加拿大NSERC资助项目
关键词
几乎不动点
H空间
覆盖
不动点
covering property, H-space, H-convex, H-convex hull, almost fixed point, lower semi-continuous, 1.e.-space, simplex, uniform structure, topological vector space, locally convex space, contractible
