University of Kashan Mathematics Interdisciplinary Research 2538-3639 4 2 2019 12 01 Best Proximity Point Theorems for Ciric Type G-Contractions in Metric Spaces with a Graph 293 304 102487 10.22052/mir.2019.187067.1135 EN Kamal Fallahi Department of Mathematics, Payam Noor University, Tehran, Iran Mohammad Hamidi Department of Mathematics, Payam Noor University, Tehran, Iran Journal Article 2019 05 23 In this paper, we aim to introduce Ciric type G-contractions using directed graphs in metric spaces and then to investigate the existence and uniqueness of best proximity points for them. We also discuss the main theorem and list some consequences of it. G-proximal mapping Ciric type G-contraction Best proximity point https://mir.kashanu.ac.ir/article_102487_bffa611422018a74ee8545663dd0461f.pdf