2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 223-225.

Common fixed points for lipschitzian semigroups

Samir Lahrech, Abderrahim Mbarki, Abdelmalek Ouahab

Lim and Xu [4] established a fixed point theorem for uniformly Lipschitzian mappings in metric spaces with uniform normal structure. Recently, Huang and Hong [1] extended hyperconvex metric space version of this theorem, by showing a common fixed point theorem for left reversible uniformly $k$-Lipschitzian semigroups. In this paper, we extend Huang and Hong's theorem to metric spaces with uniform normal structure.

Published September 20, 2006.
Math Subject Classifications: 47H09, 47H10.
Key Words: Left reversible uniformly k-Lipschitzain semigroups; common fixed point; uniform structure; convexity structure; metric space.

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Samir Lahrech
Département de Mathématiques et Informatique
Faculté des Sciences
Université Mohammed 1er, Oujda, Maroc
email: lahrech@sciences.univ-oujda.ac.ma
Abderrahim Mbarki
National school of Applied Sciences
P.O. Box 669, Oujda University, Morocco
email: ambarki@ensa.univ-oujda.ac.ma
Abdelmalek Ouahab
Département de Mathématiques, Université Oujda, 60000 Oujda, Morocco
email: ouahab@sciences.univ-oujda.ac.ma

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