Volume 2007, Issue 1 059204
Research Article
Open Access

Common Fixed Points of Mappings and Set-Valued Mappings in Symmetric Spaces with Application to Probabilistic Spaces

M. Aamri

M. Aamri

Department of Mathematics and Informtics, Faculty of Sciences Ben M′Sik, University Hassan II, Mohammedia, Casablanca P.B. 7955, Morocco univh2m.ac.ma

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A. Bassou

A. Bassou

Department of Mathematics and Informtics, Faculty of Sciences Ben M′Sik, University Hassan II, Mohammedia, Casablanca P.B. 7955, Morocco univh2m.ac.ma

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S. Bennani

S. Bennani

Department of Mathematics and Informtics, Faculty of Sciences Ben M′Sik, University Hassan II, Mohammedia, Casablanca P.B. 7955, Morocco univh2m.ac.ma

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D. El Moutawakil

D. El Moutawakil

Faculté Polydisciplinaire de Khouribga, University Hassan I, Khouribga, Settat P.B. 145, Morocco uh1.ac.ma

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First published: 01 January 2008

Abstract

The main purpose of this paper is to give some common fixed point theorems of mappings and set-valued mappings of a symmetric space with some applications to probabilistic spaces. In order to get these results, we define the concept of E-weak compatibility between set-valued and single-valued mappings of a symmetric space.

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