Erdinç Dündar

Lacunary statistical convergence of double sequences of sets

In this paper, we study the concepts of Wijsman statistical convergence, Wijsman lacunary statistical convergence, Wijsman lacunary convergence and Wijsman strongly lacunary convergence double sequences of sets and investigate the relationship among them.

Rough I-Convergence

Abstract In this work, using the concept of I-convergence and using the concept of rough convergence, we introduced the notion of rough I-convergence and the set of rough I-limit points of a sequence and obtained two rough I-convergence criteria associated with this set. Later, we proved that this set is closed and convex. Finally, we examined the relations between the set of I-cluster points and the set of rough I-limit points of a sequence

On Rough ℐ2-Convergence of Double Sequences

ABSTRACT In this study, we introduce the notion of rough ℐ2-convergence and the set of rough ℐ2-limit points of a double sequence and obtained two rough ℐ2-convergence criteria associated with this set. Later, we proved that this set is closed and convex. Finally, we examined the relationships between the set of cluster points and the set of rough ℐ2-limit points of a double sequence.

On strongly I and I*-lacunary convergence of sequences of sets

In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and investigate the relationship between them.

Rough I 2

In this paper, we introduce and study the notion of rough I2

{I}_{2}

\mathcal {I}_{2}

-lacunary statistical convergence of double sequences

-lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I2

Asymptotically Lacunary Statistical Equivalence of Double Sequences of Sets

\mathcal{I}_{2}

Multipliers for bounded convergent double sequences

-lacunary statistical limit set of a double sequence and discuss some properties of this set.

I-Lacunary Statistical Convergence of Sequences of Sets

Abstract The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences of sets were studied by Ulusu and Nuray [24]. In this paper, we get analogous results for double sequences of sets.