@article { author = {Fallahi, Kamal}, title = {$G$-asymptotic contractions in metric spaces with a graph and fixed point results}, journal = {Sahand Communications in Mathematical Analysis}, volume = {07}, number = {1}, pages = {75-83}, year = {2017}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2017.23946}, abstract = {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.}, keywords = {$G$-asymptotic contraction,Orbitally $G$-continuous self-map,Fixed point}, url = {https://scma.maragheh.ac.ir/article_23946.html}, eprint = {https://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf} }