| MAXIMAL ELEMENTS FOR G-B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ) |
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| 摘 要： |
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| 收稿时间： | 2002-03-19 |
Maximal elements forGB-majorized mappings in productG-convex spaces and applications (II) |
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| Ding Xie-ping. Maximal elements forGB-majorized mappings in productG-convex spaces and applications (II)[J]. Applied Mathematics and Mechanics(English Edition), 2003, 24(9): 1017-1024. DOI: 10.1007/BF02437634 |
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| Authors: | Ding Xie-ping |
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| Affiliation: | (1) Department of Mathematics, Sichuan Normal University, 610066 Chengdu, P. R. China |
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| Abstract: | By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces. These theorems improve and generalize many important known results in literature. Contributed by Duping Xie-ping Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan Province ([2000]25) Biography: Duping Xie-ping (1938∼), Professor (E-mail: dingxip@sichu.edu.cn) |
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| Keywords: | maximal element family ofG B-majorized mappings coincidence theorem minimax inequalities product space ofG-convex space |
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