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

DOI10.1186/1029-242X-2012-193zbMath1277.39035OpenAlexW2139297661WikidataQ59288273 ScholiaQ59288273MaRDI QIDQ386794

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

Publication date: 10 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-2012-193

zbMATH Keywords

Hyers-Ulam stabilitycubic functional equation

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Fuzzy functional analysis (46S40) Fuzzy operator theory (47S40)

Related Items (1)

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Cites Work

• A note on ``Some results on the \(IF\)-normed spaces
• Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
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• On some results of analysis for fuzzy metric spaces
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• Intuitionistic fuzzy metric spaces
• On completion of fuzzy metric spaces
• Characterizing completable fuzzy metric spaces
• L-fuzzy sets
• On the stability of \(J^*\)-homomorphisms
• On the stability of the linear transformation in Banach spaces
• Fuzzy sets
• On the Stability of the Linear Functional Equation
• On some results in fuzzy metric spaces

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