Peer-Reviewed Article May 15, 2013
Existence of tripled coincidence points in ordered b-metric spaces and an application to a system of integral equations
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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
Abstract
In this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered b-metric spaces are obtained.Our results extend the results of Berinde and Borcut (Nonlinear Anal.74:4889-4897, 2011) and Borcut (Appl.Math.Comput.218:7339-7346, 2012) from the context of ordered metric spaces to the setting of ordered b-metric spaces.Moreover, some examples of the main result are given.Finally, some tripled coincidence point results for mappings satisfying some contractive conditions of integral type in complete partially ordered b-metric spaces are deduced.Also, an application is given to support our results.