A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces

DOI10.1016/j.fss.2009.01.011zbMath1187.46067OpenAlexW2170547504MaRDI QIDQ1037971

S. Alireza Kamel Mirmostafaee

Publication date: 17 November 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2009.01.011

zbMATH Keywords

fuzzy stabilityfuzzy normed spacequartic functional equationfixed point alternativeHyers-Ulam-rassias stability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Fuzzy functional analysis (46S40)

Related Items (13)

Fuzzy stability of generalized mixed type cubic, quadratic, and additive functional equation ⋮ Coupled fixed point theorems for contractions in intuitionistic fuzzy normed spaces ⋮ Near fixed point theorems in the space of fuzzy numbers ⋮ Probabilistic (quasi)metric versions for a stability result of Baker ⋮ Solution and stability of a general mixed type cubic and quartic functional equation ⋮ Fuzzy stability of a cubic functional equation via fixed point technique ⋮ Perturbation of generalized derivations in fuzzy Menger normed algebras ⋮ Fixed points and random stability of a generalized Apollonius type quadratic functional equation ⋮ On the Ulam type stability of several types of quadratic fuzzy set-valued functional equations ⋮ The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces ⋮ Fuzzy approximate \(m\)-mappings in quasi fuzzy normed spaces ⋮ Hyers-Ulam-Rassias stability of additive mappings in fuzzy normed spaces ⋮ Solution and stability of Euler-Lagrange-Rassias quartic functional equations in various quasinormed spaces

Cites Work

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• Fuzzy topological vector spaces. II
• Fuzzy versions of Hyers-Ulam-Rassias theorem
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• Fuzzy almost quadratic functions
• Fuzzy approximately cubic mappings
• Finite dimensional fuzzy normed linear space
• Fuzzy bounded linear operators
• Separation of fuzzy normed linear spaces
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Locally bounded linear topological spaces
• On the Stability of the Linear Functional Equation
• On the stability of the additive Cauchy functional equation in random normed spaces

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