Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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WIJSMAN REGULARLY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS

  • DUNDAR, ERDINC (Department of Mathematics, Afyon Kocatepe University) ;
  • TALO, OZER (Manisa Celal Bayar Universitesi Kume evleri)
  • Received : 2020.08.31
  • Accepted : 2021.02.13
  • Published : 2021.05.30
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Abstract

In this paper, we introduce the notions of Wijsman regularly invariant convergence types, Wijsman regularly (${\mathcal{I}}_{\sigma}$, ${\mathcal{I}}^{\sigma}_2$)-convergence, Wijsman regularly (${\mathcal{I}}^*_{\sigma}$, ${\mathcal{I}}^{{\sigma}*}_2$)-convergence, Wijsman regularly (${\mathcal{I}}_{\sigma}$, ${\mathcal{I}}^{\sigma}_2$) -Cauchy double sequence and Wijsman regularly (${\mathcal{I}}^*_{\sigma}$, ${\mathcal{I}}^{{\sigma}*}_2$)-Cauchy double sequence of sets. Also, we investigate the relationships among this new notions.

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References

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