Samir Lahrech, Abderrahim Mbarki, Abdelmalek Ouahab
Abstract:
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 |
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Abderrahim Mbarki National school of Applied Sciences P.O. Box 669, Oujda University, Morocco email: ambarki@ensa.univ-oujda.ac.ma |
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Abdelmalek Ouahab Département de Mathématiques, Université Oujda, 60000 Oujda, Morocco email: ouahab@sciences.univ-oujda.ac.ma |
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