Wijsman regularly ideal invariant convergence of double sequences of sets

Dündar E., Talo Ö.

Journal of Applied Mathematics and Informatics, vol.39, no.3-4, pp.277-294, 2021 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3-4
  • Publication Date: 2021
  • Doi Number: 10.14317/jami.2021.277
  • Journal Name: Journal of Applied Mathematics and Informatics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.277-294
  • Keywords: Double sequence, regularly ideal convergence, invariant convergence, regularly ideal Cauchy sequence, Wijsman convergence
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we introduce the notions of Wijsman regularly invariant convergence types, Wijsman regularly (Iσ, I2σ )-convergence, Wi-jsman regularly (Iσ∗, I2σ∗)-convergence, Wijsman regularly (Iσ,Iσ2) -Cauchy double sequence and Wijsman regularly (Iσ,∗ I2σ∗)-Cauchy double sequence of sets. Also, we investigate the relationships among this new notions.