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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed point theorems under the interior condition


Authors: Antonio Jiménez-Melado and Claudio H. Morales
Journal: Proc. Amer. Math. Soc. 134 (2006), 501-507
MSC (2000): Primary 47H10, 47H09
Published electronically: July 8, 2005
MathSciNet review: 2176019
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Abstract: We show a fixed point theorem for condensing mappings under a new condition of the Leray-Schauder type. We call it the Interior Condition. We also discuss examples that demonstrate the independence of these two conditions.


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Additional Information

Antonio Jiménez-Melado
Affiliation: Departamento de Análisis Matemático, Facultad de Ciencias, University of Málaga, 29071 Málaga, Spain
Email: melado@uma.es

Claudio H. Morales
Affiliation: Department of Mathematics, University of Alabama in Huntsville, Huntsville, Alabama 35899
Email: morales@math.uah.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08021-4
PII: S 0002-9939(05)08021-4
Keywords: Condensing mappings, nonexpansive mappings, Leray-Schauder condition, interior condition, Banach spaces
Received by editor(s): June 23, 2004
Received by editor(s) in revised form: September 27, 2004
Published electronically: July 8, 2005
Additional Notes: This research was partially supported by a Grant from Ministerio de Educación y Ciencia, Spain (MTN 2004-00078), and from La Junta de Andalucía (FQM210)
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2005 American Mathematical Society