scientific article; zbMATH DE number 7682072

zbMath1524.39058MaRDI QIDQ6042975

Rina Tiwari

Publication date: 4 May 2023

Full work available at URL: http://bharataganitaparisad.com/wp-content/uploads/2020/06/701-ch2.pdf

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zbMATH Keywords

stabilitycubic functional equationnon-Archimedeanfuzzy normed spaces

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Fuzzy real analysis (26E50) Fuzzy functional analysis (46S40) Functional analysis in probabilistic metric linear spaces (46S50)

Cites Work

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• Fuzzy inner product spaces and fuzzy norm functions
• Fuzzy topological vector spaces. II
• Fuzzy versions of Hyers-Ulam-Rassias theorem
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• On the stability of the linear transformation in Banach spaces
• APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES
• Stability of functional equations in non-Archimedean spaces
• On the Stability of the Linear Mapping in Banach Spaces

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