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math.GM2021
A New Generalization of Rhoades' Condition
Nihal TaŞ, Nihal Özgür
In this paper, our aim is to obtain a new generalization of the well-kown Rhoades' contractive condition. To do this, we introduce the notion of an -normed space. We extend the…
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…