Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces

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Publication Details

Author list: Aydi H., Vetro C., Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873035814&doi=10.1186%2f1687-1812-2012-124&partnerID=40&md5=a26e59fd60672869986a9c8738f14a78

Languages: English-Great Britain (EN-GB)

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Abstract

We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented results, we give a unique fixed point result for a mapping satisfying a weak cyclical contractive condition. We also provide some illustrative examples. ฉ 2012 Aydi et al.; licensee Springer.

Keywords

Coincidence point, Compatible mappings, Cyclic weak (ψ,φ)-contraction, Partial metric space, Weakly increasing mappings