| 一般化凸空间上KKM定理的另一种形式及其应用 |
| |
| 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. |
| |
| 作者姓名： | 朴勇杰 金雪莲 |
| |
| 作者单位： | Dept. Of Math. , Yanbian Univ. , Yanji 133002,China |
| |
| 摘 要： | §1Introductionandpreliminaries In1929,Knaster,Kuratowski,andMazurkiewicz(simply,KKM)1]deducedthe celebratedKKMtheorem.TheKKMtheory,firstcalledbySehiePark,isthestudyof applicationsofvariousequivalentformulationsoftheclassicalKKMprinciple2].Atthe beginning,thetheorywasmainlystudiedonconvexsubsetsofHausdorfftopologicalvector spaces3],butlater,ithasbeenextendedtoconvexspacesbyLassonde4],andtospaces havingcertainfamiliesofcontractiblesubsets(simply,C-spacesorH-spaces)by Horvath5].Mor…
|
| 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 |
| |
| 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. |
| |
| Authors: | Piao Yongjie Jin Xuelian |
| |
| Institution: | Dept. 0f Math. , Yanbian Univ. , Yanji 133002,China |
| |
| 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. |
| |
| Keywords: | generalized convex space Г-quasiconvex (quasiconcave) function KKM map Г-convex trappable upper(lower) semicontinuous |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
|
