| MAXIMAL ELEMENTS OF A FAMILY OF GB-MAJORIZED MAPPINGS IN PRODUCT FC-SPACES AND APPLICATIONS |
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| 作者姓名： | 丁协平 |
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| 作者单位： | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China |
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| 摘 要： | A new family of GB-majorized mappings from a topological space into a finite continuous topological spaces （in short, FC-space） involving a better admissible set-valued mapping is introduced. Some existence theorems of maximal elements for the family of GB-majorized mappings are proved under noncompact setting of product FCspaces. Some applications to fixed point and system of minimax inequalities are given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature.
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| 关 键 词： | 映象 控制室 应用软件 泛函分析 |
| 收稿时间： | 2005-04-16 |
| 修稿时间： | 2006-08-10 |
Maximal elements of a family of G
B-majorized mappings in product FC-spaces and applications |
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| Xie-ping Ding.MAXIMAL ELEMENTS OF A FAMILY OF GB-MAJORIZED MAPPINGS IN PRODUCT FC-SPACES AND APPLICATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(12):1607-1618. |
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| Authors: | Xie-ping Ding |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University,Chengdu,610066, P. R. China |
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| Abstract: | A new family of GB-majorized mappings from a topological space into a finite continuous topological spaces (in short, FC-space) involving a better admissible set-valued mapping is introduced. Some existence theorems of maximal elements for the family of GB-majorized mappings are proved under noncompact setting of product FC-spaces. Some applications to fixed point and system of minimax inequalities are given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature. |
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| Keywords: | maximal element family of GB-majorized mappings fixed point system of minimax inequalities product FC-space |
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