G- F; -CONTRACTIONS IN PARTIAL RECTANGULAR METRIC SPACES ENDOWED WITH A GRAPH AND FIXED POINT THEOREMS

Abstract

In this paper, the notion of G- F; -contractions in the context of partial rectangular metric spaces endowed with a graph is introduced. Some xed point theorems for G- F; -contractions are also proved. The results of this paper generalize, extend, and unify some known results. Some examples are provided to illustrate the results proved herein.