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

Hind Alamri, Nawab Hussain and Ishak Altun ()
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Hind Alamri: Department of Mathematics, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, Saudi Arabia
Nawab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Ishak Altun: Department of Mathematics, Faculty of Enginearing and Natural Science, Kirikkale University, Kirikkale 71450, Turkey

Mathematics, 2023, vol. 11, issue 23, 1-25

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.

Keywords: best proximity point; p -cyclic Reich contraction; integral equation; partial metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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