Fuzzy stability of a cubic functional equation via fixed point technique

DOI10.1186/1687-1847-2012-48zbMath1288.39012OpenAlexW2122237791WikidataQ59270694 ScholiaQ59270694MaRDI QIDQ2448009

Syed Abdul Mohiuddine, Abdullah M. Alotaibi

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-48

zbMATH Keywords

Hyers-Ulam-Rassias stabilityfixed point methodfuzzy normed spacecubic functional equation

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 functional analysis (46S40)

Related Items

Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces ⋮ Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces ⋮ Stability of pexiderized quadratic functional equation in random 2-normed spaces ⋮ Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces ⋮ Stability of various functional equations in non-Archimedean intuitionistic fuzzy normed spaces ⋮ Hyers-Ulam-Rassias stability of some additive fuzzy set-valued functional equations with the fixed point alternative ⋮ On the Ulam stability of mixed type QA mappings in IFN-spaces ⋮ On the Ulam type stability of several types of quadratic fuzzy set-valued functional equations ⋮ On the stability of fuzzy set-valued functional equations

Cites Work

• Some new results on approximation in fuzzy 2-normed spaces
• Statistical convergence of double sequences in intuitionistic fuzzy normed spaces
• Stability of Jensen functional equation in intuitionistic fuzzy normed space
• On stability of a cubic functional equation in intuitionistic fuzzy normed spaces
• Nonlinear operators between intuitionistic fuzzy normed spaces and Fréchet derivative
• On generalized statistical convergence in intuitionistic fuzzy normed space
• Stability of pexiderized quadratic functional equation in intuitionistic fuzzy normed space
• On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space
• Fuzzy topological vector spaces. II
• On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces
• A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces
• A computer program for fuzzy reasoning
• On stability of additive mappings
• Finite dimensional fuzzy normed linear space
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Fuzzy normed space of operators and its completeness
• On the stability of a cubic functional equation in random 2-normed spaces
• A fixed point approach to the stability of the cubic functional equation
• Impulsive functional differential inclusions and fuzzy population models
• On the Stability of the Linear Mapping in Banach Spaces
• Differential Equations With Fuzzy Parameters
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation
• On fuzzy metric spaces
• On the stability of the additive Cauchy functional equation in random normed spaces
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