On a Uniform Fuzzy Direct Method for Stability of Functional Equations
In this paper, we consider the Hyers-Ulam-Rassias stability of the following equation f(x) = af(h(x)) + bf(−h(x)) in the fuzzy normed spaces with some conditions imposed on the constants a, b and the function h on a nonempty set X.
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2015-09-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/242/228 |
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doaj-16d70c1bf966421fb2ee0ac52d1718c82020-11-25T03:34:26ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992015-09-0193113On a Uniform Fuzzy Direct Method for Stability of Functional EquationsN. Eghbali∗0F. Arkian1University of Mohaghegh ArdabiliUniversity of Mohaghegh ArdabiliIn this paper, we consider the Hyers-Ulam-Rassias stability of the following equation f(x) = af(h(x)) + bf(−h(x)) in the fuzzy normed spaces with some conditions imposed on the constants a, b and the function h on a nonempty set X.http://ijmex.com/index.php/ijmex/article/view/242/228 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. Eghbali∗ F. Arkian |
| spellingShingle |
N. Eghbali∗ F. Arkian On a Uniform Fuzzy Direct Method for Stability of Functional Equations Journal of Mathematical Extension |
| author_facet |
N. Eghbali∗ F. Arkian |
| author_sort |
N. Eghbali∗ |
| title |
On a Uniform Fuzzy Direct Method for Stability of Functional Equations |
| title_short |
On a Uniform Fuzzy Direct Method for Stability of Functional Equations |
| title_full |
On a Uniform Fuzzy Direct Method for Stability of Functional Equations |
| title_fullStr |
On a Uniform Fuzzy Direct Method for Stability of Functional Equations |
| title_full_unstemmed |
On a Uniform Fuzzy Direct Method for Stability of Functional Equations |
| title_sort |
on a uniform fuzzy direct method for stability of functional equations |
| publisher |
Islamic Azad University |
| series |
Journal of Mathematical Extension |
| issn |
1735-8299 1735-8299 |
| publishDate |
2015-09-01 |
| description |
In this paper, we consider the Hyers-Ulam-Rassias stability
of the following equation
f(x) = af(h(x)) + bf(−h(x))
in the fuzzy normed spaces with some conditions imposed on the constants
a, b and the function h on a nonempty set X. |
| url |
http://ijmex.com/index.php/ijmex/article/view/242/228 |
| work_keys_str_mv |
AT neghbali onauniformfuzzydirectmethodforstabilityoffunctionalequations AT farkian onauniformfuzzydirectmethodforstabilityoffunctionalequations |
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1724558755905929216 |