In this paper, we establish sufficient conditions for the existence of solutions of equilibrium problems in a metric space, that do not involve any convexity assumption either for the domain or for the function. To prove these results, a weak notion of semicontinuity is considered. Furthermore, some existence results for systems of equilibrium problems are provided.

Existence results for nonconvex equilibrium problems

PAPPALARDO, MASSIMO;PASSACANTANDO, MAURO
2010-01-01

Abstract

In this paper, we establish sufficient conditions for the existence of solutions of equilibrium problems in a metric space, that do not involve any convexity assumption either for the domain or for the function. To prove these results, a weak notion of semicontinuity is considered. Furthermore, some existence results for systems of equilibrium problems are provided.
2010
Castellani, Marco; Pappalardo, Massimo; Passacantando, Mauro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/195229
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