Title of article :
Best Proximity Point Theorems for Ciric Type G-Contractions in Metric Spaces with a Graph
Author/Authors :
Fallahi, Kamal Department of Mathematics - Payam Noor University, Tehran , Hamidi, Mohammad Department of Mathematics - Payam Noor University, Tehran
Abstract :
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.
Keywords :
G-proximal mapping , Ciric type G-contraction , best proximity point