Stability results in \(\mathcal L\)-fuzzy normed spaces for a cubic functional equation

DOI10.1186/1029-242X-2012-249zbMath1279.39019OpenAlexW2129161028WikidataQ59272439 ScholiaQ59272439MaRDI QIDQ385819

Jae-Hyeong Bae, Won-Gil Park, Sang-Baek Lee

Publication date: 11 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-249

zbMATH Keywords

Hyers-Ulam stabilitycubic functional equation\(\mathcal L\)-fuzzy normed space

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Fuzzy functional analysis (46S40)

Cites Work

• The stability of the quartic functional equation in various spaces
• Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
• Fuzzy topological vector spaces. II
• Intuitionistic fuzzy sets
• On some results of analysis for fuzzy metric spaces
• Some properties of fuzzy metric spaces
• Intuitionistic fuzzy metric spaces
• On completion of fuzzy metric spaces
• Characterizing completable fuzzy metric spaces
• L-fuzzy sets
• On the stability of the linear transformation in Banach spaces
• Stability of functional equations in non-Archimedean spaces
• Fuzzy sets
• On the Stability of the Linear Functional Equation
• On some results in fuzzy metric spaces

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