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Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities. (English) Zbl 1159.49024

Summary: 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.

MSC:

49J53 Set-valued and variational analysis
49J35 Existence of solutions for minimax problems
91B50 General equilibrium theory
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