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

 

A fixed point theorem and its application
to integral equations
in modular function spaces


Authors: A. Ait Taleb and E. Hanebaly
Journal: Proc. Amer. Math. Soc. 128 (2000), 419-426
MSC (1991): Primary 46A80, 47H10, 45G10, 46E30
Published electronically: October 12, 1999
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Abstract: In this paper we present a fixed point theorem of Banach type in modular spaces. Also, we give some applications of this result to a nonlinear integral equation in Musielak-Orlicz space.


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Additional Information

A. Ait Taleb
Affiliation: Department of Mathematics and Informatic, University of Mohammed V, BP 1014, Rabat, Morocco

E. Hanebaly
Affiliation: Department of Mathematics and Informatic, University of Mohammed V, BP 1014, Rabat, Morocco

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05546-X
PII: S 0002-9939(99)05546-X
Keywords: Modular space, fixed point, integral equation
Received by editor(s): October 30, 1997
Published electronically: October 12, 1999
Communicated by: Dale Alspach
Article copyright: © Copyright 1999 American Mathematical Society