کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
842132 | 908526 | 2010 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The KKM principle in abstract convex spaces: Equivalent formulations and applications The KKM principle in abstract convex spaces: Equivalent formulations and applications](/preview/png/842132.png)
The partial KKM principle for an abstract convex space is an abstract form of the classical KKM theorem. A KKM space is an abstract convex space satisfying the partial KKM principle and its “open” version. In this paper, we clearly derive a sequence of a dozen statements which characterize the KKM spaces and equivalent formulations of the partial KKM principle. As their applications, we add more than a dozen statements including generalized formulations of von Neumann minimax theorem, von Neumann intersection lemma, the Nash equilibrium theorem, and the Fan type minimax inequalities for any KKM spaces. Consequently, this paper unifies and enlarges previously known several proper examples of such statements for particular types of KKM spaces.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 4, 15 August 2010, Pages 1028–1042