On the stability of cubic mappings and quadratic mappings in random normed spaces
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Publication:1008464
DOI10.1155/2008/902187zbMath1165.39022OpenAlexW2116982765WikidataQ59218028 ScholiaQ59218028MaRDI QIDQ1008464
Publication date: 30 March 2009
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/130353
Stability, separation, extension, and related topics for functional equations (39B82) Random operators and equations (aspects of stochastic analysis) (60H25) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (22)
Multi-\(C^{*}\)-ternary algebras and applications ⋮ Random Stability of an AQCQ Functional Equation: A Fixed Point Approach ⋮ Stability results of the functional equation deriving from quadratic function in random normed spaces ⋮ Lattictic non-Archimedean random stability of ACQ functional equation ⋮ Solutions and stability of generalized mixed type QC functional equations in random normed spaces ⋮ Solution and stability of mixed type functional equation in non-Archimedean random normed spaces ⋮ Nonlinear random stability via fixed-point method ⋮ On the stability of an \(m\)-variables functional equation in random normed spaces via fixed point method ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces ⋮ Generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation ⋮ Unnamed Item ⋮ Fuzzy stability of an additive-quadratic-quartic functional equation ⋮ Random stability of an additive-quadratic-quartic functional equation ⋮ A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces ⋮ Nonlinear \(\mathcal L\)-random stability of an ACQ functional equation ⋮ On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces ⋮ Stability of a cubic functional equation in intuitionistic random normed spaces ⋮ Solution and stability of an $n$-variable additive functional equation ⋮ 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 ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation
Cites Work
- Fuzzy versions of Hyers-Ulam-Rassias theorem
- Fuzzy stability of the Jensen functional equation
- Fuzzy approximately cubic mappings
- The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
- On the stability of \(J^*\)-homomorphisms
- On the Stability of the Linear Mapping in Banach 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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