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 -