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On vector equilibrium problems and applications. (English) Zbl 1247.90261
Summary: The main purpose of this paper is the study of sufficient conditions for the existence of solutions of vector equilibrium problems. Our main results permit to obtain some existence results already established for the scalar case and, to provide some applications in the area of vector optimization and vector saddle point problems.

MSC:
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C47 Minimax problems in mathematical programming
49J35 Existence of solutions for minimax problems
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