Fixed-disc results on metric spaces

Nihal Taş*, Nabil Mlaiki, Hassen Aydi, Nihal Özgür

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)447-457
Number of pages11
JournalFilomat
Volume35
Issue number2
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Fixed disc
  • Generalized α-ψ-contraction
  • Metric space

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