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A new KKM theorem in L-convex spaces and some applications

โœ Scribed by Kai Ting Wen

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
401 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, a new KKM theorem is established in L-convex spaces. As applications, a Ky Fan matching theorem for compactly open covers, a Fan-Browder coincidence theorem, a Fan-Browder fixed point theorem and a maximal element theorem are obtained in Lconvex spaces. These theorems unify, improve and generalize some recent results in the references therein. Finally, the equilibrium existence theorems for abstract economies and qualitative games in L-convex spaces are yielded.

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