We establish the existence of solutions for a quasiequilibrium problem in the context of infinite-dimensional separable Banach spaces. To this purpose, we use a fixed point technique which is based on the notion of inside point of a convex set that appeared in 1956 in a paper by E. Michael [12]. As particular case, we provide the existence of a generalized Nash equilibrium requiring the lower semicontinuity of the strategy map and the closedness of the fixed point set.
An existence result for quasiequilibrium problems in separable Banach spaces
CASTELLANI, MARCO;GIULI, MASSIMILIANO
2015-01-01
Abstract
We establish the existence of solutions for a quasiequilibrium problem in the context of infinite-dimensional separable Banach spaces. To this purpose, we use a fixed point technique which is based on the notion of inside point of a convex set that appeared in 1956 in a paper by E. Michael [12]. As particular case, we provide the existence of a generalized Nash equilibrium requiring the lower semicontinuity of the strategy map and the closedness of the fixed point set.File in questo prodotto:
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