SYSTEM OF COINCIDENCE THEOREMS IN PRODUCT TOPOLOGICAL SPACES AND APPLICATIONS (Ⅰ)

作     者：丁协平 

作者机构：College of Mathematics and Software Science Sichuan Normal University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2005年第26卷第12期

页      面：1547-1555页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the Natural Science Foundation of Education Department of Sichuan Province (No.2003A081)the Constructed Foundation of Key Disciplines of Sichuan Province (No.0406) 

主　　题：system of coincidence theorems continuous selection transfer compact open value FC-space 

摘      要：A new notion of finite continuous topological space（in short, FC-space） with out convexity structure was introduced. A new continuous selection theorem was established in FC-spaces. By applying the continuous selection theorem, some new coincidence theorems for two families of set-valued mappings defined on product space of noncompact FC-spaces are proved under much weak assumptions. These results generalize many known results in recent literature. Some applications will be given in a follow-up paper.