Coincidence Fixed-Point Theorems for p -Hybrid Contraction Mappings in G b -Metric Space with Application

Abstract

By combining the notions of $G$ -metric space and $b$ -metric space, in this paper, we present coincidence fixed-point theorems for $p$ -hybrid mappings in $G_b$ -metric spaces. An example is given to demonstrate the novelty of our main results. Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.