Characterizations of metrizable topological vector spaces and their asymmetric generalizations in terms of fuzzy (quasi-)norms

DOI10.1016/j.fss.2010.04.002zbMath1203.46049OpenAlexW2050155921MaRDI QIDQ983089

Salvador Romaguera, Carmen Alegre Gil

Publication date: 28 July 2010

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.04.002

zbMATH Keywords

locally convexfuzzy quasi-metricparatopological vector spacefuzzy normlocally boundedfuzzy quasi-normquasi-normable

Mathematics Subject Classification ID

Fuzzy functional analysis (46S40)

Related Items (15)

On (fuzzy) pseudo-semi-normed linear spaces ⋮ Betweenness relations and gated sets in fuzzy metric spaces ⋮ Generalized locally bounded \(L\)-topological vector spaces ⋮ On duality for fuzzy quasi-normed space ⋮ The complexity probabilistic quasi-metric space ⋮ On generalizations of fuzzy metric spaces ⋮ The Hahn-Banach extension theorem for fuzzy normed spaces revisited ⋮ The decomposition theorem for a fuzzy quasinorm ⋮ Mazur-Ulam type theorems for fuzzy normed spaces ⋮ Unnamed Item ⋮ Generalized normability theorem for \(L\)-topological vector spaces ⋮ Some fixed point theorems for φ-contractive mappings in fuzzy normed linear spaces ⋮ Fuzzy pseudo-norms and fuzzy F-spaces ⋮ On the uniform boundedness theorem in fuzzy quasi-normed spaces ⋮ Fuzzy Normed Linear Spaces

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