| 一般化凸空间上KKM定理的另一种形式及其应用 |
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| 引用本文： | 朴勇杰,金雪莲. 一般化凸空间上KKM定理的另一种形式及其应用[J]. 高校应用数学学报(英文版), 2006, 21(2): 207-213. DOI: 10.1007/BF02791346 |
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| 作者姓名： | 朴勇杰 金雪莲 |
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| 作者单位： | Dept. Of Math. , Yanbian Univ. , Yanji 133002,China |
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| 摘 要： | §1Introductionandpreliminaries In1929,Knaster,Kuratowski,andMazurkiewicz(simply,KKM)[1]deducedthe celebratedKKMtheorem.TheKKMtheory,firstcalledbySehiePark,isthestudyof applicationsofvariousequivalentformulationsoftheclassicalKKMprinciple[2].Atthe beginning,thetheorywasmainlystudiedonconvexsubsetsofHausdorfftopologicalvector spaces[3],butlater,ithasbeenextendedtoconvexspacesbyLassonde[4],andtospaces havingcertainfamiliesofcontractiblesubsets(simply,C-spacesorH-spaces)by Horvath[5].Mor…
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| 关 键 词： | 一般化凸空间 KKM定理 形式 应用 |
| 收稿时间： | 2005-03-04 |
Another form of KKM type theorem and its applications on generalized convex spaces |
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| Piao Yongjie,Jin Xuelian. Another form of KKM type theorem and its applications on generalized convex spaces[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(2): 207-213. DOI: 10.1007/BF02791346 |
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| Authors: | Piao Yongjie Jin Xuelian |
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| Affiliation: | Dept. 0f Math. , Yanbian Univ. , Yanji 133002,China |
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| Abstract: | In this paper, another form of KKM type theorem on generalized convex spaces is obtained and the problems of von Neumann-Fan type sup inf sup inequalities and variational inequalities are discussed for their applications. The main results improve and generalize the corresponding results in previous papers. |
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| Keywords: | generalized convex space Г-quasiconvex (quasiconcave) function KKM map Г-convex trappable upper(lower) semicontinuous |
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