A LERAY-SCHAUDER TYPE THEOREM FOR APPROXIMABLE MAPS

Authors
BENELMECHAIEKH H IDZIK A
Citation
H. Benelmechaiekh et A. Idzik, A LERAY-SCHAUDER TYPE THEOREM FOR APPROXIMABLE MAPS, Proceedings of the American Mathematical Society, 122(1), 1994, pp. 105-109
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
1
Year of publication
1994
Pages
105 - 109
Database
ISI
SICI code
0002-9939(1994)122:1<105:ALTTFA>2.0.ZU;2-2
Abstract
We present an elementary proof of a Leray-Schauder type theorem for ap proximable set-valued maps. Our theorem generalizes many results for c onvex as well as nonconvex maps. Our argument is not based on a homoto py invariance property but, quite surprisingly, on a matching theorem of Ky Fan on closed covers of convex sets.