COVERING PROPERTIES ON H-SPACES AND APPLICATIONS  

作　　者：丁协平 陈国强 

机构地区：[1]Department of Mathematics, Sichuan Normal University, Chengdu [2]Department of Mathematics, Statistics and Computing Science Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5

出　　处：《Applied Mathematics and Mechanics(English Edition)》1993年第12期1079-1088,共10页应用数学和力学（英文版）

基　　金：This project partially supported by National Natural Science Foundation of ChinaThis work was partially supported by NSERC of Canada under grant A-8096

摘　　要：Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.

关 键 词：covering property H-SPACE H-convex H-convex hull almost fixed point lower semi-continuous l.c.-space SIMPLEX uniform structure topological vector space locally convex space contractible 

分 类 号：O3，O1[理学—力学]