Type: Article

Generalized R-KKM theorems and their applications

Journal: Taiwanese Journal of Mathematics (10275487)Year: 2007Volume: Issue: 1Pages: 95 - 105

Zafarani J.Amini Harandi A.^aFakhar M.^aHajisharifi H.^a

a :University of Isfahan - IRAN(IR) - Isfahan

All Open Access; Bronze Open AccessDOI:10.11650/twjm/1500404637Language: English

Abstract

We give some new generalized. R-KKM theorems in the nonconvexity setting of topological spaces. As an application we answer a question posed by Isac et al. for the lower and upper bounds equilibrium problem in topological spaces.

Author Keywords

Generalized r-kkm mappingLower and upper bounds equilibrium problemMinimax theoremNearly quasi-convex functionsNoncoercive functionsQrgi functionsReexive banach spacesTransfer weakly lower continuousWeierstrass's theorem

Other Keywords

Banach spacesTopologyContinuous functionsMinimization problemsQuasi convexityQuasiconvex functionsTopological spacesTransfer weakly lower continuousWeierstrass theoremWeierstrass's theoremFunctions