Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces

Authors :: Nabil Mlaiki
Aiman Mukheimer
Ufuk Çelik
Nihal Yılmaz Özgür
Nihal Taş
Fen Edebiyat Fakültesi
Source :: Journal of Mathematics, Vol 2018 (2018)
Publication Year :: 2018
Publisher :: Hindawi, 2018.
Abstract: Taş, Nihal (Balikesir Author)<br />In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, psi-contractive, and weakly psi-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes both the circle and the disc with the center x(0) and the radius r.<br />Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) Group - RG-DES-2017-01-17