Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces
In this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, fax+by=rfx+sfy and fx+y+z=2fx+y/2+fz, are investigated in the framework of fuzzy normed spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5930414 |
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| _version_ | 1832566407101939712 |
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| author | Jianrong Wu Lingxiao Lu |
| author_facet | Jianrong Wu Lingxiao Lu |
| author_sort | Jianrong Wu |
| collection | DOAJ |
| description | In this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, fax+by=rfx+sfy and fx+y+z=2fx+y/2+fz, are investigated in the framework of fuzzy normed spaces. |
| format | Article |
| id | doaj-art-6134796e5e454bd69ecd87cf274b74e7 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6134796e5e454bd69ecd87cf274b74e72025-02-03T01:04:17ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/59304145930414Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed SpacesJianrong Wu0Lingxiao Lu1College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaCollege of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaIn this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, fax+by=rfx+sfy and fx+y+z=2fx+y/2+fz, are investigated in the framework of fuzzy normed spaces.http://dx.doi.org/10.1155/2021/5930414 |
| spellingShingle | Jianrong Wu Lingxiao Lu Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces Journal of Mathematics |
| title | Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces |
| title_full | Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces |
| title_fullStr | Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces |
| title_full_unstemmed | Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces |
| title_short | Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces |
| title_sort | hyers ulam rassias stability of additive mappings in fuzzy normed spaces |
| url | http://dx.doi.org/10.1155/2021/5930414 |
| work_keys_str_mv | AT jianrongwu hyersulamrassiasstabilityofadditivemappingsinfuzzynormedspaces AT lingxiaolu hyersulamrassiasstabilityofadditivemappingsinfuzzynormedspaces |