COMMON COUPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAP-PINGS SATISFYING φ − ψ CONTRACTION ON NONCOMPLETE METRIC SPACE

Abstract

We establish a coupled coincidence and common coupled fixed point theorem for hybrid pair of mappings under φ – ψ contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. We also give an example to validate our result. We improve and generalize several known results.

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