In this study, we give definitions of asymptotically lacunary invariant equivalence, strongly asymptotically lacunary invariant equivalence and asymptotically lacunary ideal invariant equivalence for double sequences. We ...

In this paper, we introduce the notions of regularly, (I_2,I)-convergence and regularly, (I_2,I)-Cauchy double sequence of fuzzy numbers. Also, we study some properties of these concepts.

In this paper, we introduce the concepts of Wijsman asymptotically I_2-statistical equivalence, Wijsman strongly asymptotically I_2-lacunary equivalence and Wijsman asymptotically I_2-lacunary statistical equivalence of ...

In this paper, we introduce the concepts of I2-Cauchy, I∗2-Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N × N.

Multipliers and factorizations for bounded statistically convergent sequences were studied by Connor et al. [J. Connor, K. Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent sequences, ...

Multipliers and factorizations for bounded statistically convergent sequences were studied in μ-density by Connor et al. [J. Connor, K.Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent ...

In this work, we deal with various kinds of convergence for double sequences of functions with values in R. We introduce the concepts of uniformly convergent and uniformly Cauchy sequences for double sequences of ...

In this paper, we study the concepts of the Wijsman strongly I2-lacunary convergence, Wijsman strongly I∗_2 -lacunary convergence, Wijsman strongly I_2-lacunary Cauchy double sequences and Wijsman strongly I∗_2 -lacunary ...

In this paper, we study the concepts of Wijsman Ces`aro summability and Wijsman lacunary convergence of double sequences of sets and investigate the relationship between them.

In this work, we discuss various kinds of I_2-uniform convergence for double sequences of functions and introduce the concepts of I_2 and I*_2-uniform convergence, I2-uniformly Cauchy sequences for double sequences of ...