The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces

DOI10.1016/J.FSS.2010.02.010zbMath1206.46066OpenAlexW2162313135MaRDI QIDQ983091

Dorel Miheţ

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.2010.02.010

zbMATH Keywords

fuzzy stabilityCauchy equationnon-Archimedean fuzzy normed spacefuzzy norm

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Fuzzy functional analysis (46S40) Non-Archimedean analysis (26E30)

Related Items (15)

Random Stability of an AQCQ Functional Equation: A Fixed Point Approach ⋮ Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces ⋮ On nonlinear stability in various random normed spaces ⋮ The stability of the quartic functional equation in various spaces ⋮ On the stability of an \(m\)-variables functional equation in random normed spaces via fixed point method ⋮ A general system of Euler-Lagrange-type quadratic functional equations in Menger probabilistic non-Archimedean 2-normed spaces ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces ⋮ On the stability of the additive Cauchy functional equation in random normed spaces ⋮ Unnamed Item ⋮ Random stability of an additive-quadratic-quartic functional equation ⋮ Perturbation of generalized derivations in fuzzy Menger normed algebras ⋮ On stability of functional equations related to quadratic mappings in fuzzy Banach spaces ⋮ On the Ulam type stability of several types of quadratic fuzzy set-valued functional equations ⋮ Approximate quadratic-additive mappings in fuzzy normed spaces

Cites Work

• Fuzzy versions of Hyers-Ulam-Rassias theorem
• Fuzzy stability of the Jensen functional equation
• Fuzzy stability of a functional equation associated with inner product spaces
• Stability of additive mappings in non-archimedean fuzzy normed spaces
• A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces
• The fixed point method for fuzzy stability of the Jensen functional equation
• The probabilistic stability for a functional equation in a single variable
• On set-valued nonlinear equations in Menger probabilistic normed spaces
• On the stability of the additive Cauchy functional equation in random normed spaces
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