Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: M. Sedghi, O. R. Dehghan and M. Norouzi
Pages: [41] - [59]
Received Date: March 8, 2017; Revised May 3, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121789
In this paper, we introduce the concept of n-norm on hypervector spaces and investigate how we can obtain n-normed hypervector spaces from normed hypervector spaces. By defining n-homomorphisms on n-normed hypervector spaces and a suitable norm for them, we investigate some of their properties. Moreover, the notion of quasi-n-normed subhyperspaces is introduced and some results about them are obtained.
hypervector space, n-norm, n-homomorphism, quasi-n-norm.
