On soft linear spaces and soft normed linear spaces
General Mathematics
2013-08-06 v1
Abstract
In this paper an idea of soft linear spaces and soft norm on soft linear spaces are given and some of their properties are studied. Soft vectors in soft linear spaces are introduced and their properties are studied. Completeness of soft normed linear space is also studied and equivalent soft norms and convex soft sets are studied in soft normed linear space settings.
Cite
@article{arxiv.1308.1016,
title = {On soft linear spaces and soft normed linear spaces},
author = {Sujoy Das and Pinaki Majumdar and S. K. Samanta},
journal= {arXiv preprint arXiv:1308.1016},
year = {2013}
}
Comments
This paper is submitted to Ukrainian Mathematical Journal for publication