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A generalized KKMF principle |
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| Authors: | Hichem Ben-El-Mechaiekh Monique Florenzano |
| Affiliation: | a Department of Computer Science, Mathematics, and Statistics, American University of Sharjah, PO Box 26666, Sharjah, United Arab Emirates b LEGI-École Polytechnique de Tunisie, B.P. 743, 2078 La Marsa, Tunis, Tunisia c CERMSEM, M.S.E., Université de Paris 1 Panthéon-Sorbonne, 106-112 Boulevard de l'Hôpital, 75647 Paris cedex 13, France |
| Abstract: | We present in this paper a generalized version of the celebrated Knaster-Kuratowski-Mazurkiewicz-Fan's principle on the intersection of a family of closed sets subject to a classical geometric condition and a weakened compactness condition. The fixed point formulation of this generalized principle extends the Browder-Fan fixed point theorem to set-valued maps of non-compact convex subsets of topological vector spaces. |
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