STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES
Different kind of stability have been studied concerning several areas of mathematics and fuzziness of such concepts, which is an extension of the former, are being introduced in recent times. The object of the present paper is to appraise generalization of the Hyers-Ulam-Rassias stability theorem f...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Naim Çağman
2016-03-01
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| Series: | Journal of New Theory |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/407538 |
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| _version_ | 1849723903315804160 |
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| author | Pratap Mondal Nabin Chandra Kayal Tapas Kumar Samanta |
| author_facet | Pratap Mondal Nabin Chandra Kayal Tapas Kumar Samanta |
| author_sort | Pratap Mondal |
| collection | DOAJ |
| description | Different kind of stability have been studied concerning several areas of mathematics and fuzziness of such concepts, which is an extension of the former, are being introduced in recent times. The object of the present paper is to appraise generalization of the Hyers-Ulam-Rassias stability theorem for the functional equation f ( 2 x + y ) + f ( x + 2 y ) = 4 f ( x + y ) + f ( x ) + f ( y ) in fuzzy Banach spaces . |
| format | Article |
| id | doaj-art-d38cea228d5247d0b2e6934c1947acd4 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-d38cea228d5247d0b2e6934c1947acd42025-08-20T03:10:54ZengNaim ÇağmanJournal of New Theory2149-14022016-03-011030382425STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACESPratap MondalNabin Chandra KayalTapas Kumar SamantaDifferent kind of stability have been studied concerning several areas of mathematics and fuzziness of such concepts, which is an extension of the former, are being introduced in recent times. The object of the present paper is to appraise generalization of the Hyers-Ulam-Rassias stability theorem for the functional equation f ( 2 x + y ) + f ( x + 2 y ) = 4 f ( x + y ) + f ( x ) + f ( y ) in fuzzy Banach spaces .https://dergipark.org.tr/en/download/article-file/407538fuzzy normfunctional equationhyers-ulam stabilityfuzzy banach spaces |
| spellingShingle | Pratap Mondal Nabin Chandra Kayal Tapas Kumar Samanta STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES Journal of New Theory fuzzy norm functional equation hyers-ulam stability fuzzy banach spaces |
| title | STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES |
| title_full | STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES |
| title_fullStr | STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES |
| title_full_unstemmed | STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES |
| title_short | STABILITY OF THE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES |
| title_sort | stability of the functional equation in fuzzy banach spaces |
| topic | fuzzy norm functional equation hyers-ulam stability fuzzy banach spaces |
| url | https://dergipark.org.tr/en/download/article-file/407538 |
| work_keys_str_mv | AT pratapmondal stabilityofthefunctionalequationinfuzzybanachspaces AT nabinchandrakayal stabilityofthefunctionalequationinfuzzybanachspaces AT tapaskumarsamanta stabilityofthefunctionalequationinfuzzybanachspaces |