%0 Journal Article %A Ostadhadi-Dehkordi, S. %T m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets. %J Iranian Journal of Mathematical Sciences and Informatics %V 11 %N 2 %U http://ijmsi.ir/article-1-411-en.html %R 10.7508/ijmsi.2016.02.002 %D 2016 %K m-Ary hypervector space, Krasner (m, n)-hyperfield, Bundle subsets, Hypernorm., %X In this paper, we have generalized the definition of vector space by considering the group as a canonical $m$-ary hypergroup, the field as a krasner $(m,n)$-hyperfield and considering the multiplication structure of a vector by a scalar as hyperstructure. Also we will be consider a normed $m$-ary hypervector space and introduce the concept of convergence of sequence on $m$-ary hypernormed spaces and bundle subset. %> http://ijmsi.ir/article-1-411-en.pdf %P 23-41 %& 23 %! %9 Research paper %L A-10-443-1 %+ DepartmentofMathematics,HormozganUniversity, %G eng %@ 1735-4463 %[ 2016