Fixed-disc results on metric spaces

Authors :: Nihal Taş
Hassen Aydi
Nihal Yılmaz Özgür
Nabil Mlaiki
Fen Edebiyat Fakültesi
Source :: Filomat. 35:447-457
Publication Year :: 2021
Publisher :: National Library of Serbia, 2021.
Abstract: Taş, Nihal (Balikesir Author)<br />In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this setting. To obtain new fixed-disc results, we modify some known fixed-point techniques. Illustrative examples are also given to show the validity of our main results.<br />Scientific Research Project Fund of Balkesir University 2018/021 Prince Sultan University RG-DES-2017-01-17