A different approach to complex valued $G_{b}$-metric spaces
Articles > Article · 2020
Authors: Özgür EGE, Choonkıl Park, Arslan Hojat Ansarı
Advances in Difference Equations, Journal Indexed in SCI Expanded, International, WoS, 2020, vol 2020, pp 1-13
DOI: 10.1186/s13662-020-02605-0
Summary
Abstract In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued $G_{b}$ Gb -metric spaces. Moreover, we define $\alpha -(F,\psi ,\varphi )$ 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.