Fixed Points for (G, φ)-Contractions in Vector Metric Spaces Endowed with a Graph

Abstract

In this work, we will prove some fixed point results for the class of
(G,\phi)-contractions on vector metric spaces endowed with a graph. Our results
extend and unify many known results for (G,\phi )-contractions on metric spaces
with a graph and for G-contractions on vector metric spaces. We apply our
results to obtain an existence theorem for the solution of an integral equation.