A different approach to complex valued G b $G_{b}$ -metric spaces

Abstract

Abstract In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued G b $G_{b}$ -metric spaces. Moreover, we define α − ( F , ψ , φ ) $\alpha -(F,\psi ,\varphi )$ -contractive type and α-admissible mapping. Then we prove a fixed point theorem using these notions and the complex C-class function. The obtained results generalize some facts in the literature.

Keywords

• Fixed point
• Complex C-class function
• Complex valued G b $G_{b}$ -metric space