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

Rakesh Batra, Sachin Vashistha, Rajesh Kumar

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 $\phi$-contractions on vector metric spaces. We apply our results to obtain an existence theorem for the solution of an integral equation.