Common fixed point theorems for commuting k-uniformly Lipschitzian mappings

Autor:	A. B. Mbarki, M. Elamrani, B. Mehdaoui
Jazyk:	angličtina
Rok vydání:	2001
Předmět:	Discrete mathematics Sequence Mathematics (miscellaneous) lcsh:Mathematics Bounded function Mathematical analysis Common fixed point Structure (category theory) Mathematics::Optimization and Control Existence theorem lcsh:QA1-939 Complete metric space Mathematics
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 25, Iss 3, Pp 145-152 (2001)
ISSN:	0161-1712
DOI:	10.1155/S0161171201004902
Popis:	We give a common fixed point existence theorem for any sequence of commutingk-uniformly Lipschitzian mappings (eventually, fork=1for 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 commutingk-uniformly Lipschitzian mappings.
Databáze:	OpenAIRE
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