- - - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
- - - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran

In this work‎, ‎we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.

‎‎G‎‎-Chatterjea mapping, Fixed point, orbitally ‎‎G‎‎-continuous mapping