A different approach to complex valued Gb-metric spaces

Ege Ö. , Park C., Ansarı A. H.

Advances In Difference Equations, cilt.2020, ss.1-13, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 2020 Konu: 152
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1186/s13662-020-02605-0
  • Dergi Adı: Advances In Difference Equations
  • Sayfa Sayıları: ss.1-13


In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued Gb-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.