Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces
Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in caseof approximation of a given functional equation in Banach spaces,fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approxi...
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| Format: | Article |
| Language: | English |
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Tokat Gaziosmanpasa University
2016-05-01
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| Series: | Journal of New Results in Science |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/270118 |
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| author | Pratap Mondal Nabin Chandra Kayal T K Samanta |
| author_facet | Pratap Mondal Nabin Chandra Kayal T K Samanta |
| author_sort | Pratap Mondal |
| collection | DOAJ |
| description | Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in caseof approximation of a given functional equation in Banach spaces,fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approximationof the following quadratic functional equationf(2x + y) − f(x + 2y) = 3f(x) − 3f(y) (1)in intuitionistic fuzzy Banach spaces. |
| format | Article |
| id | doaj-art-ec7f6b2d25c14df0a031f1bf427aa689 |
| institution | DOAJ |
| issn | 1304-7981 |
| language | English |
| publishDate | 2016-05-01 |
| publisher | Tokat Gaziosmanpasa University |
| record_format | Article |
| series | Journal of New Results in Science |
| spelling | doaj-art-ec7f6b2d25c14df0a031f1bf427aa6892025-08-20T02:41:20ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812016-05-015105259142Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach SpacesPratap MondalNabin Chandra KayalT K SamantaHyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in caseof approximation of a given functional equation in Banach spaces,fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approximationof the following quadratic functional equationf(2x + y) − f(x + 2y) = 3f(x) − 3f(y) (1)in intuitionistic fuzzy Banach spaces.https://dergipark.org.tr/en/download/article-file/270118intuitionistic fuzzy normhyers-ulam stabilityquadratic functional equationintuitionistic fuzzy banach spaces |
| spellingShingle | Pratap Mondal Nabin Chandra Kayal T K Samanta Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces Journal of New Results in Science intuitionistic fuzzy norm hyers-ulam stability quadratic functional equation intuitionistic fuzzy banach spaces |
| title | Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces |
| title_full | Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces |
| title_fullStr | Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces |
| title_full_unstemmed | Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces |
| title_short | Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces |
| title_sort | stability of a quadratic functional equation in intuitionistic fuzzy banach spaces |
| topic | intuitionistic fuzzy norm hyers-ulam stability quadratic functional equation intuitionistic fuzzy banach spaces |
| url | https://dergipark.org.tr/en/download/article-file/270118 |
| work_keys_str_mv | AT pratapmondal stabilityofaquadraticfunctionalequationinintuitionisticfuzzybanachspaces AT nabinchandrakayal stabilityofaquadraticfunctionalequationinintuitionisticfuzzybanachspaces AT tksamanta stabilityofaquadraticfunctionalequationinintuitionisticfuzzybanachspaces |