Common coupled fixed point theorems for hybrid pair of mappings satisfying an implicit relation with application

Abstract

We establish some common coupled fixed point theorems satisfying an implicit relation under newly defined weaker conditions for hybrid pair \(F:X\times X\rightarrow 2^{X}\) and \(g:X\rightarrow X\) on a noncomplete metric space, which is not partially ordered. An example supporting to our results has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.