Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations

DOI10.5269/bspm.43662OpenAlexW4210553950MaRDI QIDQ6189553

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Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.43662

zbMATH Keywords

Hyers-Ulam-Rassias stabilityfuzzy normed space

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Fuzzy real analysis (26E50) Fuzzy functional analysis (46S40)

Cites Work

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• Nonlinear \(\mathcal L\)-random stability of an ACQ functional equation
• Generalized Hyers-Ulam-Rassias stability of \(n\)-sesquilinear-quadratic mappings on Banach modules over \(C^*\)-algebras
• Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
• Fuzzy topological vector spaces. II
• Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
• Quadratic-quartic functional equations in RN-spaces
• Generalized Hyers-Ulam stability for general additive functional equations in quasi-\(\beta \)-normed spaces
• Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
• A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces
• Stability of mixed type cubic and quartic functional equations in random normed spaces
• Fuzzy stability of a functional equation associated with inner product spaces
• Finite dimensional fuzzy normed linear space
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations in Banach spaces
• Some results on fuzzy Banach spaces
• Fuzzy bounded linear operators
• On the stability of the linear mapping in Banach modules
• Modified Trif's functional equations in Banach modules over a \(C\)-algebra and approximate algebra homomorphisms.
• Separation of fuzzy normed linear spaces
• The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces
• On the Hyers-Ulam stability of linear mappings
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on \(C^{*}\)-ternary algebras
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• Remarks on the stability of functional equations
• On the stability of the additive Cauchy functional equation in random normed spaces

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