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

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
• <i>p</i>-cyclic Reich contraction
• integral equation
• partial metric space