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MPS_N071.pdf (502.13 KB)

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Submitted version

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1989

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151823

Generalization of browder's fixed point theorem and its applications

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Abstract

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.

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Preprint 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].

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Desigualtats (Matemàtica), Geometria convexa, Teoria del punt fix, Jocs no cooperatius (Matemàtica)

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Universitat de Barcelona. Institut de Matemàtica

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Preprints de Matemàtiques - Mathematics Preprint Series

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MARCHI, Ezio and MARTÍNEZ LEGAZ, Juan Enrique. Generalization of browder's fixed point theorem and its applications. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/151823

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