In the present paper we introduced some multiplier sequence spaces defined by a Musielak-Orlicz function M = (Mk) in n-normed spaces and examine some topological properties and some inclusion relation between the resulting sequence spaces.

The concept of 2-normed spaces was initially developed by Gähler[5] in the mid of 1960’s, while that of n-normed spaces one can see in Misiak[15]. Since then, many others have studied this concept and obtained various results, see Gunawan ([7,8]) and Gunawan and Mashadi [9] and references therein. Let n ∈ N and X be a linear space over the field K, where K is field of real or complex numbers of...

The object of this paper is to introduce the notion of intuitionistic fuzzy continuous mappings and intuitionistic fuzzy bounded linear operators from one intuitionistic fuzzy n-normed linear space to another. Relation between intuitionistic fuzzy continuity and intuitionistic fuzzy bounded linear operators are studied and some interesting results are obtained.

In the present paper we introduce the sequence spaces defined by a sequence of modulus function F = (fk) in n-normed spaces. We study some topological properties and prove some inclusion relations between these spaces.

and Applied Analysis 3 The condition of right K-completeness for X, p leaves outside the scope of this theorem an important class of asymmetric normed spaces, the asymmetric normed spaces associated to normed lattices because these spaces are right K-complete only for the trivial case 13 . In this paper, we give a uniform boundedness type theorem in the setting of asymmetric normed spaces which...

In this article, a new kind of bilateral symmetric additive type functional equation is introduced. One the interesting characteristics fact that it ideal for investigating Ulam–Hyers stabilities in two prominent normed spaces, namely fuzzy and random spaces simultaneously. This article analyzes proposed both spaces. The solution exhibits property symmetry, is, left object becomes right image, ...