H-空间的覆盖性质及其应用  

Covering Properties of H Spaces and Applications

作　　者：丁协平[1] 陈国强[2] 

机构地区：[1]四川师范大学 [2]达尔豪斯大学

出　　处：《应用数学和力学》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

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.

关 键 词：几乎不动点 H空间 覆盖 不动点 

分 类 号：O189.1[理学—数学]