Common fixed points for lipschitzian semigroup
Copyright policy )Common fixed points for lipschitzian semigroup
Summary: \textit{T.--C.\ Lim} and \textit{H.--K.\ Xu} [Nonlinear Anal., Theory Methods Appl.\, 25, No.\,11, 1231--1235 (1995; Zbl 0845.47045)] established a fixed point theorem for uniformly Lipschitzian mappings in metric spaces with uniform normal structure. Recently, \textit{Y.--Y.\,Huang} and \textit{C.--C.\,Hong} [Int.\, J.\, Math.\, Math.\, Sci.\, 22, No.\,2, 377--386 (1999; Zbl 0944.47034)] extended a hyperconvex metric space version of this theorem, proving 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.
metric space, common fixed point, Semigroups of nonlinear operators, uniform structure, Fixed-point theorems, QA1-939, convexity structure, metric space., Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., left reversible uniformly \(k\)-Lipschitzian semigroups, Mathematics, Left reversible uniformly k-Lipschitzain semigroups
metric space, common fixed point, Semigroups of nonlinear operators, uniform structure, Fixed-point theorems, QA1-939, convexity structure, metric space., Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., left reversible uniformly \(k\)-Lipschitzian semigroups, Mathematics, Left reversible uniformly k-Lipschitzain semigroups
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