Fixed point theorems under the interior condition
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- by Antonio Jiménez-Melado and Claudio H. Morales PDF
- Proc. Amer. Math. Soc. 134 (2006), 501-507 Request permission
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.References
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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
- 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
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 501-507
- MSC (2000): Primary 47H10, 47H09
- DOI: https://doi.org/10.1090/S0002-9939-05-08021-4
- MathSciNet review: 2176019