ANOTHER FORM OF KKM TYPE THEOREM AND ITS APPLICATIONS ON GENERALIZED CONVEX SPACES

一般化凸空间上KKM定理的另一种形式及其应用(英文)

下载PDF

导出

摘要 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. 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.

作者朴勇杰金雪莲

机构地区 Dept. of Math.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第2期207-213,共7页 高校应用数学学报（英文版）（B辑）

基金 SupportedbytheNationalNaturalScienceFoundationofChina(10361005).

关键词 generalized convex space Г-quasiconvex （quasiconcave） function KKM map Г-convex trappable upper（lower） semicontinuous. 一般化凸空间 KKM定理形式应用

分类号 O177.39 [理学—基础数学]

引文网络
相关文献

参考文献9

1Knaster B,Kuratowski K,Mazurkiewicz S.Ein beweis des Fixpunktsatzes für n-dimensionale simplexe,Fund Math,1929,14:132-137.
2Park S.Elements of the KKM theory for generalized convex spaces,Korean J Comp Appl Math,2000,7(1):1-28.
3Fan Ky.A generalization of Tychonoff's fixed point theorem,Math Ann,1961,142:305-310.
4Lassonde M.On the use of KKM multimaps in fixed point theory and related topics,J Math Anal Appl,1983,97:151-201.
5Horvath C D.Contractibility and generalized convexity,J Math Anal Appl,1991,156:341-357.
6Park S,Kim H J.Foundations of the KKM theory on generalized convex spaces,J Math Anal Appl,1997,209:551-571.
7Park S.New susclasses of generalized concex spaces.In:Cho Y J ed.Fixed Point Theory and Applications,New York:Nova Sci Publ,2000,91-98.
8Liu F C.On a form of KKM principle and supinfsup inequalities of von Neumann and Fan Ky type,J Math Anal Appl,1991,155:420-436.
9Li H M,Ding X P.On versions of KKM principle in H-spaces and its appications,J Sichuan Normal Univ,1993,16(3):21-27.

1李秀文,奚洁,李延彬.由无理数引出的设想[J].吉林医学院学报,1995,15(4):120-121.
2H.Hassanabadi,B.H.Yazarloo,S.Zarrinkamar,H.Rahimov.Deng-Fan Potential for Relativistic Spinless Particles—an Ansatz Solution[J].Communications in Theoretical Physics,2012,57(3):339-342.
3张学鲲.几个物理实验的创新做法[J].小作家选刊（教学交流）,2013(5):272-272.
4郝灿平.扇扇子为何感觉凉爽?[J].数理天地（初中版）,2007(12):45-45.
5Yan XU,Yan Pei LIU.The Number of Rooted Circuit Boundary Maps[J].Acta Mathematica Sinica,English Series,2010,26(9):1653-1666.
6何竞.意趣无穷的扇文化[J].珠江水运,2006(11):51-51.
7YU Jian,PENG Dingtao.SOLVABILITY OF VECTOR KY FAN INEQUALITIES WITH APPLICATIONS[J].Journal of Systems Science & Complexity,2013,26(6):978-990. 被引量：2
8许勇,董文才,肖汶斌.Study on Far Field Wave Patterns and Their Characteristics of Havelock Form Green Function[J].China Ocean Engineering,2013,27(3):283-298. 被引量：3
9Mingbao SUN,Nanbo CHEN,Songhua LI,Yinghui ZHANG.Schur Convexity for Two Classes of Symmetric Functions and Their Applications[J].Chinese Annals of Mathematics,Series B,2014,35(6):969-990. 被引量：1
10Kun Gong,Zhong-fu Zhang,Jian-fang Wang.Equitable Total Coloring of F_n ∨ W_n[J].Acta Mathematicae Applicatae Sinica,2009,25(1):83-86. 被引量：2

Applied Mathematics(A Journal of Chinese Universities)

2006年第2期

浏览历史

内容加载中请稍等...

ANOTHER FORM OF KKM TYPE THEOREM AND ITS APPLICATIONS ON GENERALIZED CONVEX SPACES

参考文献9

相关作者

相关机构

相关主题

浏览历史