Title of article :
G-(F, τ )-CONTRACTIONS IN PARTIAL RECTANGULAR METRIC SPACES ENDOWED WITH A GRAPH and FIXED POINT THEOREMS
Author/Authors :
SHUKLA, SATISH Department of Applied Mathematics - Shri Vaishnav Institute of Technology & Science Gram Baroli - Road, India
Abstract :
In this paper, the notion of G-(F, τ )-contractions in the context of partial
rectangular metric spaces endowed with a graph is introduced. Some fixed point theorems
for G-(F, τ )-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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
