A different approach to complex valued $G_{b}$-metric spaces
Makaleler > Tam Makale · 2020
Yazarlar: Özgür EGE, Choonkıl Park, Arslan Hojat Ansarı
Advances in Difference Equations, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2020, cilt 2020, ss 1-13
DOI: 10.1186/s13662-020-02605-0
Özet
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.