Interpolative Reich--Rus--Ćirić Type Contractions on G-Metric Spaces with application

Abstract

This paper introduces a novel class of contractions called interpolative Reich–Rus–Ćirić type contractions within the framework of G-metric spaces. We establish comprehensive fixed point theorems for these newly defined contractions and demonstrate their practical applications through concrete examples. Our findings significantly extend and unify several existing results in the literature concerning fixed point theory in generalized metric spaces. The interpolative approach we present offers a powerful unified framework that naturally encompasses various classical contraction conditions as special cases, providing mathematicians with a more flexible and general tool for fixed point analysis.