Çift Dizilerin Fuzzy n-Normlu Uzaylarda Lacunary I 2 -Yakınsaklığı ve Bazı Özellikleri Üzerine

Bu çalışmada çift dizilerin lacunary ideal yakınsaklığı fuzzy n-norm kullanarak yeniden tanımlanmıştır.Çalışmada ilk olarak fuzzy n-normlu uzaylarda çift diziler için lacunary ideal yakınsaklık kavramına yerverilmiş, daha sonra bu yakınsama ile ilgili temel teoremlere değinilmiştir. İkinci olarak θ-yakınsaklıkkavramını fuzzy n-normlu uzaylarda çift diziler için tanıtıp, θ-yakınsaklık ile lacunary ideal yakınsaklıkarasındaki ilişki fuzzy n-normlu uzaylarda çift diziler için incelenmiştir. Son olarak, fuzzy n-normluuzaylarda Fnθ 2 -Cauchy ve FnI 2θ -Cauchy kavramları ve bu kavramlarla ilgili teoremlerin ifadeleriverilmiştir.

On Lacunary I 2 -Convergence Of Double Sequences And Some Properties In Fuzzy n-Normed Space

In this study, firstly lacunary ideal convergence of double sequences is introduced in fuzzy n-normed spaces. And then basic definitions and theorems about lacunary ideal convergence for double sequences are given in fuzzy n-normed spaces. Secondly, we introduce the concept of θ-convergence of double sequences in fuzzy n-normed spaces, and the relation between θ-convergence and lacunary ideal convergence is investigated for double sequences in fuzzy n-normed spaces. Finally, in fuzzy n-normed spaces, the concept of Fnθ 2 -Cauchy and FnI 2θ -Cauchy and the theorems related to these concepts are given.

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