Journal of Applied Mathematics and Stochastic Analysis
Volume 2007 (2007), Article ID 59204, 7 pages
doi:10.1155/2007/59204
Research Article

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

M. Aamri,1 A. Bassou,1 S. Bennani,1 and D. El Moutawakil2

1Department of Mathematics and Informtics, Faculty of Sciences Ben M'Sik, University Hassan II, Mohammedia P.B. 7955, Casablanca, Morocco
2Faculté Polydisciplinaire de Khouribga, University Hassan I, Khouribga P.B. 145, Settat, Morocco

Received 15 June 2007; Accepted 24 October 2007

Copyright © 2007 M. Aamri et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.