Common fixed point theorems for commuting k -uniformly Lipschitzian mappings

M. Elamrani, A. B. Mbarki and B. Mehdaoui

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-8

Abstract:

We give a common fixed point existence theorem for any sequence of commuting k -uniformly Lipschitzian mappings (eventually, for k = 1 for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space ( X , d ) with uniform normal structure. After that we deduce, by using the Kulesza and Lim (1996), that this result can be generalized to any family of commuting k -uniformly Lipschitzian mappings.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:839502

DOI: 10.1155/S0161171201004902

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