Fuzzy Stability of Quadratic Functional Equations
The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. In this paper, we prove the generalized Hyers-Ulam stability of the following quadratic functional equations f(x+y)+f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/412160 |
| Summary: | The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. In this paper, we prove the generalized Hyers-Ulam stability of the following quadratic functional equations f(x+y)+f(x−y)=2f(x)+2f(y) and f(ax+by)+f(ax−by)=2a2f(x)+2b2f(y)  (a,b∈ℝ\{0},a≠±1) in fuzzy Banach spaces. |
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| ISSN: | 1687-1839 1687-1847 |