On complex valued $G_b$-metric spaces and related fixed point theorems

Document Type : Research Paper


1 Department of Mathematics Faculty of Science Naresuan University, Thailand

2 Science and Applied Science Center, Kamphaengphet Rajabhat University, Kamphaengphet, 62000, Thailand


In this paper, we establish complex valued $G_b$-metric spaces and introduced the notion of $G_b$-Banach Contraction, $G_b$-Kannan mapping and prove fixed point theorems in the such spaces.