On generalizations of vector and Banach spaces by hyperstructres

Document Type : Research Paper


1 Department of mathematics, University of Hormozgan, Hormozgan, Bandar abbas, Iran.

2 Institute of Mathematics,Yunnan University, Kunming, 650091, P.R. China



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.


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