Some Results on N-Tupled Coincidence and Fixed Points of Graphs on Metric Spaces and an Application to Integral Equations

Abstract

In this work, we establish some N-tupled common coincidence and N-tupled common fixed points for the mappings satisfying a (φ-ψ)-type contractive condition in a complete metric space endowed with a directed graph (for short digraph). Also, we apply our theoretical results to study the existence and uniqueness of solutions for systems of integral equations.

A Multidimensional Fixed‐Point Theorem and Applications to Riemann‐Liouville Fractional Differential Equations

“…For more information about coupled, tripled, and -tupled fixed points, see [9][10][11][12][13][14][15][16][17]. Now, we recall some definitions about the fractional derivative.…”