Fixed points for Banach and Kannan contractions in modular spaces with a graph

In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan contractions defined on modular spaces endowed with a graph. We do not impose the \Delta_۲-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 fixed point results.

کلیدواژه ها:

Complete modular space ، Fixed point ، Banach contraction ، Kannan contraction