Open Access Research

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

Hassen Aydi1, Calogero Vetro2, Wutiphol Sintunavarat3 and Poom Kumam3*

Author Affiliations

1 Institut Supérieur d’Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1-4011, H. Sousse, Tunisia

2 Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, Palermo, 90123, Italy

3 Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand

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Fixed Point Theory and Applications 2012, 2012:124 doi:10.1186/1687-1812-2012-124

Published: 25 July 2012

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.

MSC: 47H10, 54H25.

Keywords:
coincidence point; common fixed point; compatible mappings; cyclic weak <a onClick="popup('http://www.fixedpointtheoryandapplications.com/content/2012/1/124/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.fixedpointtheoryandapplications.com/content/2012/1/124/mathml/M1">View MathML</a>-contraction; partial metric space; weakly increasing mappings