Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation
We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of automorphisms of E and κ is its order....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2015-01-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516614000024 |
| _version_ | 1829509864734326784 |
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| author | A.B. Chahbi A. Charifi B. Bouikhalene S. Kabbaj |
| author_facet | A.B. Chahbi A. Charifi B. Bouikhalene S. Kabbaj |
| author_sort | A.B. Chahbi |
| collection | DOAJ |
| description | We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of automorphisms of E and κ is its order. |
| first_indexed | 2024-12-16T11:54:13Z |
| format | Article |
| id | doaj.art-c1730c0fe474489c849e3f4ade1d00f6 |
| institution | Directory Open Access Journal |
| issn | 1319-5166 |
| language | English |
| last_indexed | 2024-12-16T11:54:13Z |
| publishDate | 2015-01-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Arab Journal of Mathematical Sciences |
| spelling | doaj.art-c1730c0fe474489c849e3f4ade1d00f62022-12-21T22:32:37ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662015-01-01211678310.1016/j.ajmsc.2014.01.001Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equationA.B. Chahbi0A. Charifi1B. Bouikhalene2S. Kabbaj3Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, MoroccoDepartment of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, MoroccoLaboratory LIRST, Polydisciplinary Faculty, Department of Mathematics, University Sultan Moulay Slimane, Beni-Mellal, MoroccoDepartment of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, MoroccoWe use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of automorphisms of E and κ is its order.http://www.sciencedirect.com/science/article/pii/S1319516614000024Group automorphismsJensen functional equationQuadratic functional equationK-quadratic functional equationPexider functional equationNon-Archimedean Hyers–Ulam stability |
| spellingShingle | A.B. Chahbi A. Charifi B. Bouikhalene S. Kabbaj Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation Arab Journal of Mathematical Sciences Group automorphisms Jensen functional equation Quadratic functional equation K-quadratic functional equation Pexider functional equation Non-Archimedean Hyers–Ulam stability |
| title | Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation |
| title_full | Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation |
| title_fullStr | Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation |
| title_full_unstemmed | Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation |
| title_short | Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation |
| title_sort | operatorial approach to the non archimedean stability of a pexider k quadratic functional equation |
| topic | Group automorphisms Jensen functional equation Quadratic functional equation K-quadratic functional equation Pexider functional equation Non-Archimedean Hyers–Ulam stability |
| url | http://www.sciencedirect.com/science/article/pii/S1319516614000024 |
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