TY - JOUR ID - 23946 TI - $G$-asymptotic contractions in metric spaces with a graph and fixed point results JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Fallahi, Kamal AD - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran. Y1 - 2017 PY - 2017 VL - 07 IS - 1 SP - 75 EP - 83 KW - $G$-asymptotic contraction KW - Orbitally $G$-continuous self-map KW - Fixed point DO - 10.22130/scma.2017.23946 N2 - In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metric spaces endowed with a graph. UR - https://scma.maragheh.ac.ir/article_23946.html L1 - https://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf ER -