Hybrid Pairs of Mappings with Some Weaker Conditions in Consideration of Common Fixed Point on 2-Metric Spaces

Bhavana Deshpande, Rohit Pathak

In this paper, we define weak commutativity of type (KB) for hybrid pairs of mappings in 2-metric spaces. We prove a common fixed point theorem for two hybrid pairs of mappings by using weak commutativity of type (KB) in 2-metric spaces. We give an example to throw light on our claim. We improve, extend and generalize several known results.