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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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 PDF
Proc. Amer. Math. Soc. 126 (1998), 2345-2349 Request permission

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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Additional 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