Quadruple fixed point theorem for hybrid pair of mappings under generalized nonlinear contraction

Abstract

We establish a quadruple coincidence and common quadruple fixed point theorem for hybrid pair of mappings under generalized nonlinear contraction on a noncomplete metric space which is not partially ordered. It is to be noted that to find quadruple 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, extend and generalize various known results.

Keywords

• Quadruple fixed point
• quadruple coincidence point
• generalized nonlinear contraction
• w-compatibility
• F-weakly commutativity