Continuous Selection,Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces  

作　　者：Xie Ping DING 

机构地区：[1]College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2006年第6期1629-1638,共10页数学学报（英文版）

基　　金：This project is supported by the NSF of Sichuan Education Department of China(2003A081)and SZD0406

摘　　要：Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-valued mappings defined on product space of noncompact topological spaces are obtained under very weak assumptions. These results generalize many known results in recent literature.Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-valued mappings defined on product space of noncompact topological spaces are obtained under very weak assumptions. These results generalize many known results in recent literature.

关 键 词：continuous selection collectively fixed point coincidence theorem for two families of set-valued mappings FC-SPACE 

分 类 号：O17[理学—数学]