In this paper, we study the concepts of invariant convergence, p-strongly invariant convergence ([V_{\sigma}^2]_{p}), \mathcal{I}_2-invariant convergence (\mathcal{I}^{\sigma}_{2}), \mathcal{I}^{*}_2-invariant convergence (\mathcal{I}^{{\sigma}*}_{2}) of double sequences and investigate the relationships among invariant convergence, [V_{\sigma}^2]_{p}, \mathcal{I}^{\sigma}_{2} and \mathcal{I}^{{\sigma}*}_{2}. Also, we introduce the concepts of \mathcal{I}^{\sigma}_{2}-Cauchy double sequence and \mathcal{I}^{{\sigma}*}_{2}-Cauchy double sequence.

 

 

 

 

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Author(s)

Dündar, Erdinç, Ulusu, Uǧur, Nuray, Fatih