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EnglishWe 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.
http://hdl.handle.net/11697/15948| Titolo: | An existence result for quasiequilibrium problems in separable Banach spaces |
| Autori interni: | CASTELLANI, MARCO GIULI, MASSIMILIANO |
| Data di pubblicazione: | 2015 |
| Rivista: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| 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. |
| Handle: | http://hdl.handle.net/11697/15948 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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