Coupled coincidence point results for a generalized compatible pair with applications

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Authors

Hussain, Nawab
Abbas, Mujahid
Azam, Akbar
Ahmad, Jamshaid

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SpringerOpen Journal

Abstract

In 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.

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Keywords

Coupled coincidence point, Generalized compatibility, Mixed monotone property, Ordered set, Complete metric space

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Citation

Hussain et al.: Coupled coincidence point results for a generalized compatible pair with applications. Fixed Point Theory and Applications 2014, 2014:62.