Remarks on the generalized interpolative contractions and some fixed-point theorems with application

Remarks on the generalized interpolative contractions and some fixed-point theorems with application

Blog Article

In this manuscript, some remarks on the papers [H.A.Hammad, P.Agarwal, S.Momani, and F.

Alsharari, Solving a fractional-order differential equation using rational symmetric contraction mappings, Fractal Fract.5 (2021), 159] and [A.Hussain, F.Jarad, and E.Karapinar, A study of here symmetric contractions with an application to generalized fractional differential equations, Adv.

Differ.Equ.2021 (2021), 300] are given.In the light abc material 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.