Abstract:
In this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point
results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable
results in the existing literature. Examples are provided to support the results proved here. As an application of our results, we
obtain a homotopy result, proving the existence of a solution for a second-order differential equation and for a first-order fractional
differential equation.
