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Fuzzy stability of an additive-quartic functional equation: A fixed point approach
- Issue Date
- Jun-2012
- Publisher
- Springer International Publishing
- Keywords
- Additive mapping; Fixed point; Fuzzy Banach space; Generalized Hyers?Ulam stability; Quartic mapping
- Citation
- Springer Optimization and Its Applications, v.52, pp.247 - 260
- Indexed
- SCOPUS
- Journal Title
- Springer Optimization and Its Applications
- Volume
- 52
- Start Page
- 247
- End Page
- 260
- ISSN
- 1931-6828
- Abstract
- Mirmostafaee, Mirzavaziri and Moslehian have investigated the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces. Using the fixed point method, we prove the generalized Hyers?Ulam stability of the following additive-quartic functional equation (2x+y) + f(2x?y) = 2f(x+y) + 2f(?x?y) + 2f(x?y) + 2f(y?x) + 14f(x)+10f(?x)?3f(y)?3f(?y) in fuzzy Banach spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)