A generalized KKMF principle

Hichem Ben-El-Mechaiekh (1) , Souhail Chebbi (2) , Monique Florenzano (3)

1 Department of Computer Science, Mathematics, and Statistics
2 LEGI - Laboratoire d'Économie et de Gestion Industrielle [Tunis]
3 CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique

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.

Mots clés: KKMF principle

Domaines: Economies et finances

Hichem Ben-El-Mechaiekh, Souhail Chebbi, Monique Florenzano. A generalized KKMF principle. Journal of Mathematical Analysis and Applications, 2005, 309 (2), pp.583-590. ⟨10.1016/j.jmaa.2004.10.025⟩. ⟨halshs-00310492⟩