m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.

In this paper, we have generalized the de nition of the vector space by considering the group as a canonical m-ary hypergroup, the eld as a krasner (m, n)-hyper eld 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 convergent of sequence on m-ary hypernormed spaces and bundle subset.