A different approach to complex valued G(b)-metric spaces

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)-metric spaces. Moreover, we define alpha-(F,psi,phi)-contractive type and alpha-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.