Open Access Research

Mixed g-monotone property and quadruple fixed point theorems in partially ordered metric spaces

Zead Mustafa1*, Hassen Aydi2 and Erdal Karapinar3

Author Affiliations

1 Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115, Jordan

2 Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1-4011, Hammam Sousse, Tunisie

3 Department of Mathematics, Atilim University, 06836, İncek, Ankara, Turkey

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Fixed Point Theory and Applications 2012, 2012:71 doi:10.1186/1687-1812-2012-71

Published: 1 May 2012

First paragraph (this article has no abstract)

In this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X4 → X and g : X → X satisfying generalized contractions in partially ordered metric spaces. Our results unify, generalize and complement various known results from the current literature. Also, an application to matrix equations is given.

Keywords:
quadruple coincidence point; quadruple common fixed point; ordered set; metric space; generalized contraction