### Asymptotically lacunary I_σ-equivalence of sequences of sets

Uğur Ulusu, Esra Gülle

#### Abstract

In this study, we introduce the notions of Wijsman asymptotically strongly p-lacunary invariant equivalence ([W_(N_σθ)^L ]_p), Wijsman asymptotically lacunary I-invariant equivalence (W_(I_σθ)^L) and Wijsman asymptotically lacunary I^*-invariant equivalence (W_(I_σθ^*)^L) for sequences of sets. Also, the relationships among the notions of Wijsman asymptotically lacunary invariant equivalence, Wijsman asymptotically lacunary invariant statistical equivalence, [W_(N_σθ)^L ]_p, W_(I_σθ)^L and W_(I_σθ^*)^L are investigated.

#### Keywords

Asymptotically equivalence, Lacunary sequence, I-convergence, Invariant convergence, Sequences of sets, Wijsman convergence

#### Full Text:

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v10i1.1503

© 2011 Karaelmas Fen ve Mühendislik Dergisi
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