Survey on Recent Ulam Stability Results Concerning Derivations
This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and superstability issues connected with derivations are discussed. In the section before the last one we...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1235103 |
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| _version_ | 1849406376346910720 |
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| author | Janusz Brzdęk Liviu Cădariu Krzysztof Ciepliński Ajda Fošner Zbigniew Leśniak |
| author_facet | Janusz Brzdęk Liviu Cădariu Krzysztof Ciepliński Ajda Fošner Zbigniew Leśniak |
| author_sort | Janusz Brzdęk |
| collection | DOAJ |
| description | This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and superstability issues connected with derivations are discussed. In the section before the last one we highlight some recent outcomes on stability of conditions defining (generalized) Lie derivations. |
| format | Article |
| id | doaj-art-53a0fdec772b4a579dc8a60503481422 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-53a0fdec772b4a579dc8a605034814222025-08-20T03:36:25ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/12351031235103Survey on Recent Ulam Stability Results Concerning DerivationsJanusz Brzdęk0Liviu Cădariu1Krzysztof Ciepliński2Ajda Fošner3Zbigniew Leśniak4Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, PolandDepartment of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei 2, 300006 Timişoara, RomaniaFaculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, PolandFaculty of Management, University of Primorska, Cankarjeva 5, SI-6104 Koper, SloveniaDepartment of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, PolandThis is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and superstability issues connected with derivations are discussed. In the section before the last one we highlight some recent outcomes on stability of conditions defining (generalized) Lie derivations.http://dx.doi.org/10.1155/2016/1235103 |
| spellingShingle | Janusz Brzdęk Liviu Cădariu Krzysztof Ciepliński Ajda Fošner Zbigniew Leśniak Survey on Recent Ulam Stability Results Concerning Derivations Journal of Function Spaces |
| title | Survey on Recent Ulam Stability Results Concerning Derivations |
| title_full | Survey on Recent Ulam Stability Results Concerning Derivations |
| title_fullStr | Survey on Recent Ulam Stability Results Concerning Derivations |
| title_full_unstemmed | Survey on Recent Ulam Stability Results Concerning Derivations |
| title_short | Survey on Recent Ulam Stability Results Concerning Derivations |
| title_sort | survey on recent ulam stability results concerning derivations |
| url | http://dx.doi.org/10.1155/2016/1235103 |
| work_keys_str_mv | AT januszbrzdek surveyonrecentulamstabilityresultsconcerningderivations AT liviucadariu surveyonrecentulamstabilityresultsconcerningderivations AT krzysztofcieplinski surveyonrecentulamstabilityresultsconcerningderivations AT ajdafosner surveyonrecentulamstabilityresultsconcerningderivations AT zbigniewlesniak surveyonrecentulamstabilityresultsconcerningderivations |