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http://dx.doi.org/10.14317/jami.2021.277

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)
Publication Information
Journal of applied mathematics & informatics / v.39, no.3_4, 2021 , pp. 277-294 More about this Journal
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.
Keywords
Double sequence; regularly ideal convergence; invariant convergence; regularly ideal Cauchy sequence; Wijsman convergence;
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