拓扑空间中一些新的不动点定理(英文)  

Some New Fixed Point Theorems in Topological Spaces

作　　者：朱江[1] 李其琛[2] 

机构地区：[1]徐州师范大学数学系,江苏徐州221116 [2]淮海工学院基础科学系,江苏连云港222005

出　　处：《应用泛函分析学报》2003年第1期20-26,共7页Acta Analysis Functionalis Applicata

基　　金：This work is supported by0 2 KJB

摘　　要：介绍了我们在不动点定理方面的一些最新结果 ,包括 :拓扑空间中 Meir- Keeler型映象的不动点定理 ,有序拓扑空间中增算子和多值增映射的不动点定理 ,拓扑空间中压缩映象的不动点定理和多值映象的公共不动点定理 .甚至在通常的度量空间 。in this paper, we introduce our recent Results of fixed point theorem for meir-keeler type operators in topological Spaces and for increasing operators, multi-valued increasing mappings in Ordered topological spaces. We also introduce some fixed point Theorems for contraction mappings and common fixed point theorems For set-valued mappings in topological spaces with topological Distances family. Even in usual metric spaces, the all results of Ours are also new results, which also provide a forceful tool for Solving nonlinear problems in abstract spaces.=

关 键 词：收缩算子 Meir-Keelerga型映象 压缩映象 多值映象 不动点定理 拓扑空间 不动点定理 

分 类 号：O177.91[理学—数学]