Title of article :
Fixed points for Banach and Kannan contractions in G-metric spaces endowed with a graph
Author/Authors :
Mohseni, Nahid Sadat Faculty of Mathematics - K. N. Toosi University of Technology, Tehran , Masiha, Hashem P. Faculty of Mathematics - K. N. Toosi University of Technology, Tehran , Mamghaderi, Hamid Faculty of Mathematics - K. N. Toosi University of Technology, Tehran
Abstract :
In this paper, we discuss the existence of xed points for Banach and Kannan contractions dened
on G-metric spaces, which were introduced by Mustafa and Sims, endowed with a graph. Our results
generalize and unify some recent results by Jachymski, Bojor and Mustafa and those contained
therein. Moreover, we provide some examples to show that our results are substantial improvement
of some known results in literature.
Keywords :
Fixed point , G-metric spaces , Banach contraction , Kannan contraction
Journal title :
International Journal of Nonlinear Analysis and Applications
