G-Metric Space by using Clr G Property and Hybrid Contractive Conditions in Fixed Point Theory: Exploring the properties and applications of G-Metric spaces in fixed point theory

Abstract

Many writers have attempted to broaden the concept of a metric space, motivated by the factthat metric fixed point theory has applications in practically all branches of quantitative sciences. In thisregard, numerous writers have proposed many generalised metric spaces in the previous decade. Theconcept of G-Metric space has piqued the interest of fixed point theorists among all the generalisedmetric spaces. Mustafa and Sims presented the notion of a G-Metric space in, where they examined thetopological features of this space and established the analogue of the Banach contraction principle in Gmetricspaces. Many writers have explored and proposed various common fixed point theorems in thisframework as a consequence of these findings.