recently given by Jachymski (Proc. Amer. Math. Soc. 136: 1359-1373, 2008) and Gwóźdź-
Lukawska and Jachymski (J. Math. Anal. Appl. 356: 453-463, 2009) by using the context of
metric spaces endowed with a graph. The purpose of this article is to present some new
fixed point results for graphic contractions and for Ćirić-Reich-Rus G-contractions on
complete metric spaces endowed with a graph. The particular case of almost contractions is …