The matching theorems in G-convex spaces with applications |
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| Authors: | Weiping Guo Wei Guo |
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| Institution: | a School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, PR China
b Department of Aerospace Engineering and Mechanics, University of Minnesota, Twin Cities, Minneapolis, MN 55455, USA |
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| Abstract: | The purpose of this paper is to establish some new matching theorems in G-convex spaces and, as applications, to obtain some new fixed point theorems, section theorems and a minimax theorem in G-convex spaces. The results presented in this paper improve and generalize the corresponding results in 1], 2], 3], 4], 5], 7], 8], 9], 10], 11] and 12]. |
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| Keywords: | G-convex space KKM type theorem Matching theorem Fixed point theorem Section theorem Minimax theorem |
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