Common fixed points for lipschitzian semigroup

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.

Keywords

• Left reversible uniformly k-Lipschitzain semigroups
• common fixed point
• uniform structure
• convexity structure
• metric space.