and Applied Analysis 3 a vector space from various points of view 28–30 . In particular, Bag and Samanta 31 , following Cheng and Mordeson 32 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 33 . They established a decomposition theorem of a fuzzy norm into a family of crisp norms and investigated some properties of fuzzy normed ...

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...

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 paper, we introduce the cone normed spaces and cone bounded linear mappings. among other things, we prove the baire category theorem and the banach--steinhaus theorem in cone normed spaces.

The aim of this paper is to introduce the notion of D-bounded sets and D-compact sets in Random n-normed linear space. Also we prove some results in relation between D-bounded and D-compact sets in random n-normed linear spaces.