Some new triple sequence spaces over n-normed space

Abstract

Triple sequence spaces were introduced by Sahiner et al. [27, 28]. The main objective of this paper is to define some new classes of triple sequences over n-normed space by means of Museiak-Orlicz function and difference operators. We also study some algebraic and topological properties of these new sequence spaces.

On lacunary Δ^m-statistical convergence of triple sequence in intuitionisticfuzzy normed space

“…Triple sequence statistical convergence on probabilistic normed space was recently introduced by Savas and Esi [6], where as statistical convergence of triple sequences in topological groups was later introduced by Esi [5]. For further study on triple sequence spaces, we may refer to [14,15,16,17].…”

I-convergent triple fuzzy normed spaces

“…Tripathy [24] extended the concept of I-convergent to double sequence and later Kumar [15] obtained some results on I-convergent double sequence. Recently Jalal and Malik [12,13] extended the concept of n-norms to triple sequence spaces and proved several algebraic and topological properties.…”