Fuzzy stability of a functional equation associated with inner product spaces
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Publication:1037969
DOI10.1016/j.fss.2008.11.027zbMath1182.39023OpenAlexW1995581110MaRDI QIDQ1037969
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.2008.11.027
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) 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) Systems of functional equations and inequalities (39B72) Fuzzy functional analysis (46S40) Functional analysis in probabilistic metric linear spaces (46S50)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fuzzy topological vector spaces. II
- Fuzzy versions of Hyers-Ulam-Rassias theorem
- Fuzzy stability of the Jensen functional equation
- Finite dimensional fuzzy normed linear space
- Variational problem of some quadratic functionals in complex analysis
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- The problem of S. M. Ulam for approximately multiplicative mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- Fuzzy bounded linear operators
- Homomorphisms between Poisson JC*-algebras
- Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
- On the stability of the linear mapping in Banach modules
- Fuzzy normed space of operators and its completeness
- Modified Trif's functional equations in Banach modules over a \(C\)-algebra and approximate algebra homomorphisms.
- Separation of fuzzy normed linear spaces
- On the Hyers-Ulam stability of linear mappings
- On the stability of the linear transformation in Banach spaces
- Proprieta’ locali e approssimazione di operatori
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- On the Stability of the Linear Mapping in Banach Spaces
- On an approximate automorphism on a $C^{*}$-algebra
- On the Stability of the Linear Functional Equation
- AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM
- Remarks on the stability of functional equations
- On the stability of the quadratic mapping in normed spaces
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