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.
