descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:National Library of SerbiaJournal:Filomat, volume 32, pages 3,689-3,695 (issn: 0354-5180, eissn: 2406-0933,

Authors: Dina Abuzaid;

doi: 10.2298/fil1810689a

Fixed point theorems and tiling problems

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Abstract

Let (X,d) be a complete metric space and let f : X ? X satisfy inf{?(x,y)d( fm(x), fm(y)) : m ? J}? Kd(x,y) for all x,y ? X and some K ? (0,1) and ? : X x X ? [0,?), where J is a set of positive integers. In this paper, we prove fixed point theorems for this mapping f. We also discuss the connection with tiling problems and give a titling proof of a fixed point theorem.

Related Organizations

King Abdulaziz University
Saudi Arabia
University of Niš
Serbia

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