Fuzzy approximation of an additive functional equation
In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibit...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/941731 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563831829692416 |
|---|---|
| author | G. Zamani Eskandani Ali Reza Zamani H. Vaezi |
| author_facet | G. Zamani Eskandani Ali Reza Zamani H. Vaezi |
| author_sort | G. Zamani Eskandani |
| collection | DOAJ |
| description | In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited. |
| format | Article |
| id | doaj-art-26349d97beed4e069306c165a4739733 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-26349d97beed4e069306c165a47397332025-02-03T01:12:28ZengWileyJournal of Function Spaces and Applications0972-68022011-01-019220521510.1155/2011/941731Fuzzy approximation of an additive functional equationG. Zamani Eskandani0Ali Reza Zamani1H. Vaezi2Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranFaculty of Science, Department of Mathematics, Tabriz Mathematics House, Tabriz, IranFaculty of Mathematical Sciences, University of Tabriz, Tabriz, IranIn this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.http://dx.doi.org/10.1155/2011/941731 |
| spellingShingle | G. Zamani Eskandani Ali Reza Zamani H. Vaezi Fuzzy approximation of an additive functional equation Journal of Function Spaces and Applications |
| title | Fuzzy approximation of an additive functional equation |
| title_full | Fuzzy approximation of an additive functional equation |
| title_fullStr | Fuzzy approximation of an additive functional equation |
| title_full_unstemmed | Fuzzy approximation of an additive functional equation |
| title_short | Fuzzy approximation of an additive functional equation |
| title_sort | fuzzy approximation of an additive functional equation |
| url | http://dx.doi.org/10.1155/2011/941731 |
| work_keys_str_mv | AT gzamanieskandani fuzzyapproximationofanadditivefunctionalequation AT alirezazamani fuzzyapproximationofanadditivefunctionalequation AT hvaezi fuzzyapproximationofanadditivefunctionalequation |