New iterative scheme for fixed point results of weakly compatible maps in multiplicative GM-metric space via various contractions with application

Abstract

In this manuscript, we induced several vivid common fixed point theorems for four maps in the setting of complete multiplicative Gm-metric space via various contractive conditions such as Δ-implicit contractions. Some new definitions and results are introduced in multiplicative Gm-metric space.Moreover, illustrative examples are given to validate our obtained results and an application to a system of nonlinear integral equations are provided to show the novelty of our new results.