Continuous Selections and Fixed Points forφ-maps with Their Applications to Section Problems  

作　　者：PIAO YONG-JIE JIN HAI-LAN PIAO GUANG-RI 

机构地区：[1]Department of Mathematics, College of Science, Yanbian Universify, Yanji, Jilin, 133002

出　　处：《Communications in Mathematical Research》2012年第3期225-234,共10页数学研究通讯（英文版）

基　　金：The NSF (10361005) of China

摘　　要：The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for Ф-maps are established, and as applications of the above fixed point theorems, some section problems are discussed. The results generalize and improve many corresponding conclusions.The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for Ф-maps are established, and as applications of the above fixed point theorems, some section problems are discussed. The results generalize and improve many corresponding conclusions.

关 键 词：FC-SPACE FC-subset Ф-map continuous selection fixed point section problem 

分 类 号：O177.91[理学—数学] TP317[理学—基础数学]