转移开、闭集值映象和H-KKM定理的推广及应用

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Transfer Open or Closed Setvalued Mapping and Generalization of H-KKM Theorem with Applications

摘要: 本文中,我们引入转移开、闭集值映象的概念,推广了H-空间中的KKM定理^[4].然后用所得的结果证明了几个重合定理、匹配定理和向量值极大极小不等式。这些结论推广了近期文献[1,2,4,5,6,7]中的相应结果。
- 转移开、闭集映象值 /
- H-KKM映象 /
- 重合定理 /
- 匹配定理
Abstract: In this paper,we introduce a class of generalized mapping called transfer open orclosed valued mapping to generalize the KKM theorem on H-space.Then asapplications,using our H-KKM theorem,we prove some coincidence theorems.matching theorems and vector valued minimax inequalities which generalize slightly the corresponding results in[1,2,4,5,6,7].
- transfer closed or open setvalued mapping /
- coincidence theorem /
- H-KKM mapping /
- matching theorem

[1]	Browder,E.,The fixed point theory of multivalued mapping on topological vector spaces,Math.Ann.,177(1968),283-301.
[2]	Chang Shih-sen and Ma Yi-hai,Generalized KKM Theorem on H-space with applications,J.Math.Anal.Appl.,163(1992),406-421.
[3]	Fan Ky,Some properties of convex sets related to fixed point theorem,Mcitlr.Ann,266(1984),519-537.
[4]	Bardaro,C.and R.Ceppitelli,Some further generalization of Knaster-Kuratiwski-Mazurkiewicz theorem and minimax inequalities,J.Math.Anal.Appl.132(1988),484-490.
[5]	Bardro,C.and R.Ceppitelli,Fixed point theorem and vector valued minimax theorems,J.Math.Anal.Appl.,146(1990),363-373.
[6]	Park,S.,Generalizations of Ky Fan's matching theorem and their applications,J.Muth.Anal.Appl.,141(1989),164-176.
[7]	Tian,G.Q.,Generalization of the FKKM theorem and the Ky Fan minimax inequality with application to maximal elements,price equilibrium and complementarily J.Mutlr.Anal.Appl.,170(1992),457-471.