On generalizations of vector and Banach spaces by hyperstructres

نویسندگان

1 دانشگاه علم و فرهنگ

2 دانشگاه فردوسی مشهد

doi
10.22034/as.2020.1921
چکیده

In this paper,  we generalize the vector space by considering the group as a canonical $m$-ary hypergroup, the field as a Krasner $(m,n)$-hyperfield. Moreover, we define  the $m$-ary hyper Banach spaces and  investigate some of their related properties.