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Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities
Authors:Mircea Balaj  
Institution:

aDepartment of Mathematics, University of Oradea, 410087 Oradea, Romania

Abstract:In this paper we obtain first a very general coincidence theorem. From this we derive a new coincidence theorem and two alternative theorems concerning existence of maximal elements. Applications of these results to generalized equilibrium problems and minimax inequalities are given in the last sections.
Keywords:KKM property  Transfer open valued  Coincidence theorem  Maximal element  Equilibrium problem  Minimax inequality
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