Quadruple coincidence and common quadruple fixed point for hybrid pair of mappings under new contractive condition

Abstract

We establish a quadruple coincidence and common quadruple fixed point theorem for hybrid pair of mappings satisfying new contractive condition. It is to be noted that to find quadruple coincidence points, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

Keywords

• Quadruple fixed point
• quadruple coincidence point
• w-compatible mappings
• F-weakly commuting