On generalizations of vector and Banach spaces by hyperstructres
نویسندگان
1 دانشگاه علم و فرهنگ
2 دانشگاه فردوسی مشهد
doi
10.22034/as.2020.1921چکیده
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.