COMMON COUPLED FIXED POINT RESULT FOR INTEGRAL TYPE CONTRACTION USING w-COMPATIBILITY IN PARTIAL METRIC SPACES AND AN APPLICATION

Common coupled fixed point result for integral type. . .

Abstract

The purpose of this work is to demonstrate the common coupled fixed point result of integral type contraction utilizing w-compatibility in the context of partial metric spaces. Furthermore, we present various corollaries to the established result. The findings in this study extend and generalize various previously reported conclusions from the current literature. An application is demonstrated using the modified fractional integral operator and the specific Rabotnov function, followed by an illustration.