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math.GN2021★ 14 cited
New fixed-circle results related to Fc-contractive and Fc-expanding mappings on metric spaces
Nabil Mlaiki, Nihal Ozgur, Nihal Tas
The fixed-circle problem is a recent problem about the study of geometric properties of the fixed point set of a self-mapping on metric (resp. generalized metric) spaces. The fixed…
math.GN2019
Controlled rectangular metric type spaces and some applications to polynomial equations
Nabil Mlaiki
In this paper, we introduce a generalization of rectangular metric spaces, by changing the rectangular inequality as follows \begin{equation*} ρ(x,y)\le θ(x,y,u,v)[ρ(x,u)+ρ(u,v…
math.GN2018
Rectangular metric like type spaces and fixed points
Nabil Mlaiki, Kamal Abudayeh, Thabet Abdeljawad +1
In this paper we introduce the concept of the rectangular metric like spaces, along with its topology and we prove some fixed point theorems under different contraction principles.…