Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings
In this work, we define the multi-radical quadratic and multi-radical quartic mappings as two systems of radical functional equations and then represent them as two equations. Then, we establish some results concerning the stability of multi-radical quadratic and multi-radical quartic mappings by ap...
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| Language: | English |
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MDPI AG
2025-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/12/1954 |
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| author | Ghaziyah Alsahli Abasalt Bodaghi |
| author_facet | Ghaziyah Alsahli Abasalt Bodaghi |
| author_sort | Ghaziyah Alsahli |
| collection | DOAJ |
| description | In this work, we define the multi-radical quadratic and multi-radical quartic mappings as two systems of radical functional equations and then represent them as two equations. Then, we establish some results concerning the stability of multi-radical quadratic and multi-radical quartic mappings by applying a fixed-point based on Brzdȩk. As a direct consequence, we prove the Rassias and Hyers stability of the mentioned mappings. |
| format | Article |
| id | doaj-art-c600fd953c0d4a3ba2b56b46e8d4db1b |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-c600fd953c0d4a3ba2b56b46e8d4db1b2025-08-20T03:16:34ZengMDPI AGMathematics2227-73902025-06-011312195410.3390/math13121954Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic MappingsGhaziyah Alsahli0Abasalt Bodaghi1Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi ArabiaDepartment of Mathematics, W.T. C., Islamic Azad University, Tehran 1468763785, IranIn this work, we define the multi-radical quadratic and multi-radical quartic mappings as two systems of radical functional equations and then represent them as two equations. Then, we establish some results concerning the stability of multi-radical quadratic and multi-radical quartic mappings by applying a fixed-point based on Brzdȩk. As a direct consequence, we prove the Rassias and Hyers stability of the mentioned mappings.https://www.mdpi.com/2227-7390/13/12/1954Hyers–Rassias stabilitymulti-radical quadratic mappingmulti-radical quartic mapping |
| spellingShingle | Ghaziyah Alsahli Abasalt Bodaghi Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings Mathematics Hyers–Rassias stability multi-radical quadratic mapping multi-radical quartic mapping |
| title | Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings |
| title_full | Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings |
| title_fullStr | Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings |
| title_full_unstemmed | Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings |
| title_short | Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings |
| title_sort | approximation of two systems of radical functional equations related to quadratic and quartic mappings |
| topic | Hyers–Rassias stability multi-radical quadratic mapping multi-radical quartic mapping |
| url | https://www.mdpi.com/2227-7390/13/12/1954 |
| work_keys_str_mv | AT ghaziyahalsahli approximationoftwosystemsofradicalfunctionalequationsrelatedtoquadraticandquarticmappings AT abasaltbodaghi approximationoftwosystemsofradicalfunctionalequationsrelatedtoquadraticandquarticmappings |