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.
Castellani, M., Pappalardo, M., Passacantando, M. (2010). Existence results for nonconvex equilibrium problems. OPTIMIZATION METHODS & SOFTWARE, 25(1), 49-58 [10.1080/10556780903151557].
Existence results for nonconvex equilibrium problems
Passacantando, M
2010
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.File in questo prodotto:
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