On Prešić–Ćirić-Type α-ψ Contractions with an Application

Sk, Faruk; Tom, Mohammed Ahmed Osman; Khan, Qamrul Haq; Khan, Faizan Ahmad

doi:10.3390/sym14061166

Open AccessArticle

On Prešić–Ćirić-Type α-ψ Contractions with an Application

¹

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

²

Computational & Analytical Mathematics and Their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

^*

Authors to whom correspondence should be addressed.

^†

Current address: Department of Mathematics, University of Bahri, P.O. Box 1660/1111, Khartoum 11111, Sudan.

Symmetry 2022, 14(6), 1166; https://doi.org/10.3390/sym14061166

Submission received: 27 April 2022 / Revised: 30 May 2022 / Accepted: 2 June 2022 / Published: 6 June 2022

(This article belongs to the Special Issue Elementary Fixed Point Theory and Common Fixed Points)

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Abstract

In this paper, we extend the idea of

α

-

ψ

contraction mapping to the product spaces by introducing Prešić–Ćirić-type

α

-

ψ

contractions and utilize them to prove some coincidence and common fixed-point theorems in the context of ordered metric spaces using

α

-admissibility of the mapping. Our newly established results generalize a number of well-known fixed-point theorems from the literature. Moreover, we give some examples that attest to the credibility of our results. Further, we give an application to the nonlinear integral equations, which can be employed to study the existence and uniqueness of solutions to the integral equations.

Keywords: coincidence points; Prešić–Ćirić contractions; α-ψ contractions; ordered metric spaces

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MDPI and ACS Style

Sk, F.; Tom, M.A.O.; Khan, Q.H.; Khan, F.A. On Prešić–Ćirić-Type α-ψ Contractions with an Application. Symmetry 2022, 14, 1166. https://doi.org/10.3390/sym14061166

AMA Style

Sk F, Tom MAO, Khan QH, Khan FA. On Prešić–Ćirić-Type α-ψ Contractions with an Application. Symmetry. 2022; 14(6):1166. https://doi.org/10.3390/sym14061166

Chicago/Turabian Style

Sk, Faruk, Mohammed Ahmed Osman Tom, Qamrul Haq Khan, and Faizan Ahmad Khan. 2022. "On Prešić–Ćirić-Type α-ψ Contractions with an Application" Symmetry 14, no. 6: 1166. https://doi.org/10.3390/sym14061166

APA Style

Sk, F., Tom, M. A. O., Khan, Q. H., & Khan, F. A. (2022). On Prešić–Ćirić-Type α-ψ Contractions with an Application. Symmetry, 14(6), 1166. https://doi.org/10.3390/sym14061166

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On Prešić–Ćirić-Type α-ψ Contractions with an Application

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