Document Type : Research Paper

Authors

• Chakkrid Klin-eam ¹
• Cholatis Suanoom ²

¹ Department of Mathematics Faculty of Science Naresuan University, Thailand

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

Abstract

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.

Keywords

• Fixed point
• complex valued $G_b$-metric spaces
• complex valued G-metric spaces
• G-metric spaces
• $G_b$-metric spaces
• $G_b$-Banach contraction and $G_b$-Kannan mapping