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Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces
作者姓名:Xie  Ping  DING
作者单位:College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China
基金项目:This project is supported by the NSF of Sichuan Education Department of China (2003A081) and SZD0406
摘    要:

关 键 词:连续选择  全体固定点  一致性定理  FC-空间
收稿时间:2004-04-15
修稿时间:2004-04-152005-08-22

Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces
Xie Ping DING.Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces[J].Acta Mathematica Sinica,2006,22(6):1629-1638.
Authors:Xie Ping Ding
Institution:(1) College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China
Abstract: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.
Keywords:continuous selection  collectively fixed point  coincidence theorem for two families of set-valued mappings  FC-space
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