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

SATISH SHUKLA

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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.

Keywords

F-contraction, partial rectangular metric space, fixed point, graph.