Title of article :
Fixed points for Banach and Kannan contractions in modular spaces with a graph
Author/Authors :
Aghanians, Aris Faculty of Mathematics - K. N. Toosi University of Technology, Tehran , Nourouzi, Kourosh Faculty of Mathematics - K. N. Toosi University of Technology, Tehran
Abstract :
In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan
contractions dened on modular spaces endowed with a graph. We do not impose the △2-condition
or the Fatou property on the modular spaces to give generalizations of some recent results. The
given results play as a modular version of metric xed point results.
Keywords :
Complete modular space , Fixed point , Banach contraction , Kannan contraction
Journal title :
Astroparticle Physics