NORMED HYPERVECTOR SPACES
Authors
Abstract:
The main purpose of this paper is to study normed hypervector spaces. We generalize some definitions such as basis, convexity, operator norm, closed set, Cauchy sequences, and continuity in such spaces and prove some theorems about them.
similar resources
A Note on Convergence in Normed Hypervector Spaces
The aim of this paper is to introduce the concept of convergence of a sequence on hypernormed spaces and establish a few basic properties of convergent sequences and Cauchy sequences on hypernormed spaces. Also we have established a necessary and sufficient condition for a Cauchy sequence to be convergent sequence in this spaces. In fact, also it has been shown that limit of a convergent sequen...
full textFuzzy Hypervector Spaces
The aim of this paper is the generalization of the notion of fuzzy vector spaces to fuzzy hypervector spaces. In this regard, by considering the notion of fuzzy hypervector spaces, we characterized a fuzzy hypervector space based on its level sub-hyperspace. The algebraic nature of fuzzy hypervector space under transformations is studied. Certain conditions are obtained under which a given fuzz...
full textNeutrosophic Hypervector Spaces
The objective of this paper is to study neutrosophic hypervector spaces. Some basic definitions and properties of the hypervector spaces are generalized. AMS (2010): 03B60, 15A03, 20A05, 20N20, 97H40.
full textDouble-Framed Soft Hypervector Spaces
The notions of double-framed soft subfields, double-framed soft algebras over double-framed soft subfields, and double-framed soft hypervector spaces are introduced, and their properties and characterizations are considered.
full textA Note on Hypervector Spaces
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.
full textDIMENSION OF FUZZY HYPERVECTOR SPACES
In this paper we investigate the algebraic properties of dimension of fuzzy hypervector spaces. Also, we prove that two isomorphic fuzzy hypervector spaces have the same dimension.
full textMy Resources
Journal title
volume 2 issue None
pages 35- 44
publication date 2007-11
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023