A different approach to complex valued Gb-metric spaces

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 α − ( F , ψ , φ ) -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.