Some New Double Sequence Spaces Defined by Orlicz Function in -Normed Space

Abstract

The aim of this paper is to introduce and study some new double sequence spaces with respect to an Orlicz function, and also some properties of the resulting sequence spaces were examined.

Stability of Unbounded Differential Equations in Menger k-Normed Spaces: A Fixed Point Technique

“…For more details see [22][23][24][25][26][27][28]. Note that, a [0, ∞]-valued metric is called a generalized metric.…”

Some spaces of difference sequences and lacunary statistical convergence in $n$-normed space defined by sequence of Orlicz functions

“…Over the years and under different names, statistical convergence has been discussed in the theory of Fourier analysis, ergodic theory and number theory. Later on, it was further investigated from the sequence space point of view and linked with summability theory by Fridy [9], Connor [6], Salat [32], Mursaleen et al [25], Mursaleen and Edely [27], Mursaleen and Mohiuddine [31], Isık [16], Savas [33], Kolk [18], Maddox [19], Mursaleen et al [26] and many others. In recent years, generalizations of statistical convergence have appeared in the study of strong integral summability and the structure of ideals of bounded continuous functions on locally compact spaces.…”

Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

“…183). For more details about sequence spaces see ( [1], [2], [3], [18], [19], [21], [22], [23], [24], [25]) and references therein. Let M be an Orlicz function and p = (p k ) be any sequence of strictly positive real numbers.…”