GENERALIZED MINIMAX THEOREMS IN GENERALIZED CONVEX SPACES

• Journal title : Honam Mathematical Journal
• Volume 31, Issue 4,  2009, pp.559-578
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2009.31.4.559
Title & Authors
GENERALIZED MINIMAX THEOREMS IN GENERALIZED CONVEX SPACES
Kim, Hoon-Joo;

Abstract
In this work, we obtain intersection theorem, analytic alternative and von Neumann type minimax theorem in G-convex spaces. We also generalize Ky Fan minimax inequality to acyclic versions in G-convex spaces. The result is applied to formulate acyclic versions of other minimax results, a theorem of systems of inequalities and analytic alternative.
Keywords
Minimax Theorem;Generalized Convex Space;Acyclic;$\small{{\Phi}}$-map;f-quasiconcave;Transfer l.s.c.;Intersection Theorem;Systems of Inequalities;Analytic Alternative;
Language
English
Cited by
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