2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 223-225.
Title: Common fixed points for lipschitzian semigroups
Authors: Samir Lahrech (Univ. Oujda, Morocco)
Abderrahim Mbarki (National school of Applied Sciences, Morocco)
Abdelmalek Ouahab (Univ. Oujda, Morocco)
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.