A Leray-Schauder type theorem for approximable maps: A simple proof
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- by H. Ben-El-Mechaiekh, S. Chebbi and M. Florenzano
- Proc. Amer. Math. Soc. 126 (1998), 2345-2349
- DOI: https://doi.org/10.1090/S0002-9939-98-04655-3
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Abstract:
We present a simple and direct proof for a Leray-Schauder type alternative for a large class of condensing or compact set-valued maps containing convex as well as nonconvex maps.References
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Bibliographic Information
- H. Ben-El-Mechaiekh
- Affiliation: Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1
- Address at time of publication: Department of Mathematics, The American University of Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates
- Email: hmechaiekh@aus.ac.ae
- S. Chebbi
- Affiliation: CERMSEM, Université de Paris I, 106-112 Bd de l’Hopital, 75013 Paris, France
- Email: chebbi@univ-parisl.fr
- M. Florenzano
- Affiliation: CNRS-CEPREMAP, 140 rue du Chevaleret, 75013 Paris, France
- Email: monique.florenzano@cepremap.cnrs.fr
- Received by editor(s): August 12, 1996
- Received by editor(s) in revised form: January 16, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2345-2349
- MSC (1991): Primary 47H04, 47H10, 54C60
- DOI: https://doi.org/10.1090/S0002-9939-98-04655-3
- MathSciNet review: 1476117