Existence of approximate best proximity point of the triplets \((Q_1, Q_2, Q_3)\) on G-metric spaces and its applications

Abstract

In this paper, we investigate the existence (qualitative results) and the diameter (quantitative results) of the approximate best proximity point of the triplets (Q₁,Q₂,Q₃) on G-metric spaces using various self-maps which includes G-B contraction, G-Bianchini contraction, and so on. Also, a few examples are provided to demonstrate our findings. Finally, we discuss some applications of approximate best proximity point results in the domain of differential equations rigorously.