| 拓扑空间中一些新的不动点定理 |
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| 引用本文： | 朱江,李其琛. 拓扑空间中一些新的不动点定理[J]. 应用泛函分析学报, 2003, 5(1): 20-26 |
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| 作者姓名： | 朱江 李其琛 |
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| 作者单位： | 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 |
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| 基金项目： | This work is supported by0 2 KJB |
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| 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，所有这些结果也是新的。
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| 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 |
Some New Fixed Point Theorems in Topological Spaces |
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| ZHU Jiang,LI Qi-chen. Some New Fixed Point Theorems in Topological Spaces[J]. Acta Analysis Functionalis Applicata, 2003, 5(1): 20-26 |
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| Authors: | ZHU Jiang LI Qi-chen |
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| Abstract: | 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.= |
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| Keywords: | fixed point contraction mapping multivalued mapp Ing topological space |
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