Hahn-Banach type theorems and the separation of convex sets for fuzzy quasi-normed spaces

Autor: Ruini Li, Jianrong Wu
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 3, Pp 3290-3302 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022183?viewType=HTML
Popis: In this paper, we first study continuous linear functionals on a fuzzy quasi-normed space, obtain a characterization of continuous linear functionals, and point out that the set of all continuous linear functionals forms a convex cone and can be equipped with a weak fuzzy quasi-norm. Next, we prove a theorem of Hahn-Banach type and two separation theorems for convex subsets of fuzzy quasinormed spaces.
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