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Fixed points and contraction factor functions

By M. Voorneveld

Abstract

In a complete metric space (X; d), we dene w-distance functions p : X X ! [0; 1), of which the metric d is a special case, and contraction factor functions r : X X ! [0; 1) such that if p(Tx;Ty) r(x; y)p(x; y) for all x; y 2 X, thenT : X ! X has a (unique) xed point

Topics: Wiskunde en Informatica, Contraction, w-distance, xed point
Year: 2000
OAI identifier: oai:dspace.library.uu.nl:1874/2511

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