@article{052d1cd55ddc4e6fbd47f78b714ec449,
title = "Fixed-disc results on metric spaces",
abstract = "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.",
keywords = "Fixed disc, Generalized α-ψ-contraction, Metric space",
author = "Nihal Ta{\c s} and Nabil Mlaiki and Hassen Aydi and Nihal {\"O}zg{\"u}r",
note = "Funding Information: 2010 Mathematics Subject Classification. Primary 47H09; Secondary 54H25, 47H10 Keywords. Fixed disc, generalized α-ψc-contraction, metric space Received: 26 November 2018; Accepted: 18 February 2021 Communicated by Naseer Shahzad The first and fourth authors are supported by Scientific Research Project Fund of Balıkesir University under the project number 2018/021. The second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. Corresponding authors: Nihal Tas¸ and Hassen Aydi Email addresses: nihaltas@balikesir.edu.tr (Nihal Tas¸ ), nmlaiki@psu.edu.sa (Nabil Mlaiki), hassen.aydi@isima.rnu.tn (Hassen Aydi), nihal@balikesir.edu.tr (Nihal {\"O}zg{\"u}r) Funding Information: The first and fourth authors are supported by Scientific Research Project Fund of Bal?kesir University under the project number 2018/021. The second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. Publisher Copyright: {\textcopyright} 2021, University of Nis. All rights reserved.",
year = "2021",
doi = "10.2298/FIL2102447T",
language = "English",
volume = "35",
pages = "447--457",
journal = "Filomat",
issn = "0354-5180",
publisher = "Universitet of Nis",
number = "2",
}