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

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

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

Alsharari, bang xxl switch duo 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 symmetric contractions with an application to generalized fractional differential equations, Adv.

Differ.Equ.2021 (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 china glaze beaches and toes spaces.We derive several new results based on known contractions from the main theorems.

As an application, we resolve a Urysohn integral equation.

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