Proximity Point Results for Generalized p-Cyclic Reich Contractions: An Application to Solving Integral Equations

Author:

Alamri Hind1ORCID,Hussain Nawab2ORCID,Altun Ishak3ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, Saudi Arabia

2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

3. Department of Mathematics, Faculty of Enginearing and Natural Science, Kirikkale University, Kirikkale 71450, Turkey

Abstract

This article studies new classes of contractions called the p-cyclic Reich contraction and p-cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces. Furthermore, the best proximity point results for p-proximal cyclic Reich contractions of the first and second types are also discussed.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference26 articles.

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4. Fixed points for mappings satisfying cyclical contractive conditions;Kirk;Fixed Point Theory,2003

5. On Meir-Keeler proximal contraction for non-self mappings;Asem;J. Adv. Math. Stud.,2022

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