Abstract
In this manuscript, some remarks on the papers [H. A. Hammad, P. Agarwal, S. Momani, and F. Alsharari,
, Fractal Fract.
(2021), 159] and [A. Hussain, F. Jarad, and E. Karapinar,
, Adv. Differ. Equ.
(2021), 300] are given. In the light of remarks, we introduce a new property that makes it convenient to investigate the existence of fixed points of the interpolative contractions in the orthogonal metric spaces. We derive several new results based on known contractions from the main theorems. As an application, we resolve a Urysohn integral equation.