International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 748-760
  • Receive Date: 15 June 2016
  • Revise Date: 03 November 2017
  • Accept Date: 17 November 2019