Hussain, NawabAbbas, MujahidAzam, AkbarAhmad, Jamshaid2015-11-052015-11-052014-03Hussain et al.: Coupled coincidence point results for a generalized compatible pair with applications. Fixed Point Theory and Applications 2014, 2014:62.1687-1820 (print)1687-1812 (online)10.1186/1687-1812-2014-62http://hdl.handle.net/2263/50354In this paper, employing a new concept of generalized compatibility of a pair of mappings defined on a product space, certain coupled coincidence point results of mappings involved herein are obtained. We also deduce certain coupled fixed point results without mixed monotone property of F. Our results generalize some recent comparable results in the literature. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.en© 2014 Hussain et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0).Coupled coincidence pointGeneralized compatibilityMixed monotone propertyOrdered setComplete metric spaceArticle