Rational type contractions in extended b-metric spaces

Huaping Huang*, Yumnam Mahendra Singh, Mohammad Saeed Khan, Stojan Radenović

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

Original languageEnglish
Article number614
Issue number4
Publication statusPublished - Apr 2021
Externally publishedYes


  • Comparison function
  • Extended b-metric space
  • Fredholm integral equation
  • Rational type contraction
  • α-admissible


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