On Asymptotically Ideal Invariant Equivalence of Double Sequences

Erdinç Dündar, Uğur Ulusu, Fatih Nuray

Abstract

In this study, the concepts of asymptotically $\mathcal{I}^{\sigma}_2$-equivalent, asymptotically invariant equivalent, strongly asymptotically invariant equivalent and $p$-strongly asymptotically invariant equivalent for double sequences are defined. Also, we investigate relationships among these new type equivalence concepts.