Some fixed point results in partial rectangular metric-like spaces (Q2051663)

Summary: In this paper, we introduce a new concept of partial rectangular metric-like space and prove some results on the existence and uniqueness of a fixed point of a function \(T:X\longrightarrow X \), defined on a partial rectangular metric-like space \(X\), which fulfills a nonlinear contractive condition using a comparison function and the diameter of the orbits. The obtained results generalize some previously acknowledged results in partial metric spaces, partial rectangular metric spaces, and rectangular metric-like spaces. The examples presented prove the usefulness of the introduced generalizations.