(ρ, η, µ)-interpolative kannan contractions i

Yaé Ulrich Gaba*, Hassen Aydi, Nabil Mlaiki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We point out a vital error in the paper of Gaba et al. (2019), showing that a (ρ,η,µ) interpolative Kannan contraction in a complete metric space need not have a fixed point. Then we give an appropriate restriction on a (ρ,η,µ)-interpolative Kannan contraction that guarantees the existence of a fixed point and provide an equivalent formulation. Moreover, we show that this formulation can be extended to the interpolative Reich-Rus-Ćirić type contraction.

Original languageEnglish
Article number212
JournalAxioms
Volume10
Issue number3
DOIs
Publication statusPublished - Sep 2021
Externally publishedYes

Keywords

  • (ρ, η, µ)-interpolative Kannan contraction
  • Fixed point
  • Metric space

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