Rational interpolative contractions with applications in extended b-metric spaces

Abstract

In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended $ b $-metric spaces. For the validity of the presented results some examples are given. In the last section an existence theorem is provided to study the existence of a solution for the Fredholm integral equation.

Keywords

• fixed point
• metric space
• interpolative contractions
• extended $ b $-metric space
• integral equation