A Leray-Schauder type theorem for approximable maps-Reference-Cited by-同舟云学术

A Leray-Schauder type theorem for approximable maps

Published:1994 Issue:1 Volume:122 Page:105-109
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ben-El-Mechaiekh H.,Idzik A.

Abstract

We present an elementary proof of a Leray-Schauder type theorem for approximable set-valued maps. Our theorem generalizes many results for convex as well as nonconvex maps. Our argument is not based on a homotopy invariance property but, quite surprisingly, on a matching theorem of Ky Fan on closed covers of convex sets.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-122-01/S0002-9939-1994-1212281-2/S0002-9939-1994-1212281-2.pdf

Reference17 articles.

1. H. Ben-El-Mechaiekh, Continuous approximations of set-valued maps and fixed points, Rapport de recherche 1820, CRM, Université de Montréal, 1992.

2. A remark concerning a matching theorem of Ky Fan;Ben-El-Mechaiekh, H.;Chinese J. Math.,1989

3. Extensions and selections of maps with decomposable values;Bressan, Alberto;Studia Math.,1988

4. Approachability and fixed points for nonconvex set-valued maps;Ben-El-Mechaiekh, H.;J. Math. Anal. Appl.,1992

5. H. Ben-El-Mechaiekh, M. Oudadess, and J. F. Tounkara, Approximation of multifunctions on uniform spaces, preprint, 1992.

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