Marchi, EzioMartínez Legaz, Juan Enrique2020-03-032020-03-031989https://hdl.handle.net/2445/151823Preprint enviat per a la seva publicació en una revista científica: Topol. Methods Nonlinear Anal. Volume 2, Number 2 (1993), 277-291. [https://projecteuclid.org/download/pdf_1/euclid.tmna/1479287132].From an infinite dimensional version of a generalization, dueto Peleg, of the Knaster-Kuratowski-Mazurkiewicz's theorem, we obtain a generalization of Browder's fixed point theorem, for multi-valued mappings from the product of a finite family of non-empty compact convex sets ( each in a Hausdorff topological vector space) into each of its factors. By applying this thorem, we deduce sorne Ky Fan type inequalities, from one of which a generalization of the Ky Fan's intersection theorem on sets with convex sections is obtained.12 p.application/pdfeng(c) Ezio Marchi et al., 1989Desigualtats (Matemàtica)Geometria convexaTeoria del punt fixJocs no cooperatius (Matemàtica)Universitat de Barcelona. Institut de MatemàticaGeneralization of browder's fixed point theorem and its applicationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess