
handle: 11630/27154
Summary: 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.
double sequence, regularly ideal Cauchy sequence, Wijsman convergence, invariant convergence, Convergence and divergence of series and sequences, Hyperspaces in general topology, regularly ideal convergence, Double sequence, Ideal and statistical convergence
double sequence, regularly ideal Cauchy sequence, Wijsman convergence, invariant convergence, Convergence and divergence of series and sequences, Hyperspaces in general topology, regularly ideal convergence, Double sequence, Ideal and statistical convergence
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