On extended interpolative single and multivalued F-contractions

YILDIRIM İ.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.3, pp.688-698, 2022 (SCI-Expanded, Scopus, TRDizin) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2108-29
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.688-698
  • Keywords: Interpolation, F-contractions, fixed point, Hardy-Rogers type contractions, METRIC-SPACES
  • Ataturk University Affiliated: Yes

Abstract

The main objective of this paper is to study an extended interpolative single and multivalued Hardy-Rogers type F-contractions in complete metric spaces. We prove some fixed point theorems for such mappings. Further, we give an application to integral equations to verify our main results. The results presented in this paper improve the recent works of Karapinar et al. [12] and Mohammadi et al. [16] .