A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces
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Publication:535481
DOI10.1155/2010/423231zbMath1219.39020OpenAlexW2091504288WikidataQ59267493 ScholiaQ59267493MaRDI QIDQ535481
Wan Xin Xu, Tian-Zhou Xu, Matina John Rassias, John Michael S. Rassias
Publication date: 13 May 2011
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/233500
Hyers-Ulam stabilityquintic functional equationsextic functional equationquasi-\(\beta\)-normed spaces
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
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Cites Work
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- A generalized mixed quadratic-quartic functional equation
- On the stability of functional equations
- Elementary remarks on Ulam-Hyers stability of linear functional equations
- On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces
- Random stability of an additive-quadratic-quartic functional equation
- Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces
- On the stability of cubic mappings and quadratic mappings in random normed spaces
- Generalized Hyers-Ulam stability for general additive functional equations in quasi-\(\beta \)-normed spaces
- 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
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
- Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
- On the stability of a general mixed additive-cubic functional equation in random normed spaces
- A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences
- A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces
- Fixed points and stability for functional equations in probabilistic metric and random normed spaces
- On a direct method for proving the Hyers-Ulam stability of functional equations
- On the Stability of the Linear Mapping in Banach Spaces
- Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces
- Intuitionistic fuzzy stability of a general mixed additive-cubic equation
- 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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