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Fixed point results in neutrosophic fuzzy metric spaces for contractions based on C-class functions

  • Anwar Bataihah
  • , Arslan Hojjat Ansari
  • , Ayman Hazaymeh
  • , Seyyed Hossein Jafari Petroudi*
  • *Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this study, we employ the notion of C-class functions to develop new contraction mappings within the context of neutrosophic fuzzy metric spaces. These contractions are utilized to establish fixed point theorems applicable to complete neutrosophic fuzzy metric spaces, grounded in C-class func-tions. Furthermore, we present a range of fixed point results pertinent to this particular framework. An illustrative example is also provided to demonstrate our primary findings. Our results serve to extend and generalize several existing outcomes in the literature.

Original languageEnglish
Pages (from-to)97-108
Number of pages12
JournalResults in Nonlinear Analysis
Volume8
Issue number4
DOIs
Publication statusPublished - 14 Jan 2025
Externally publishedYes

Keywords

  • C-class functions
  • Geraghty contractions
  • Neutrosophic fuzzy metric
  • Neutrosophic set
  • Non-linear contraction
  • and phrases: Fixed point
  • quasi-contraction

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