Details

Autor(en) / Beteiligte

• Li, Ruini
• Wu, Jianrong

Titel

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

Ist Teil von

• AIMS mathematics, 2022, Vol.7 (3), p.3290-3302

Ort / Verlag

AIMS Press

Erscheinungsjahr

2022

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• 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.