Exploring the stability of two different forms of a same functional equation
Within this manuscript, we shall delve into the direct method and explore the general solution as well as the classical stability of the ensuing reciprocal functional equation [f(x-y+z)-f(3x+y-z)][f(x+y-z)+2f(x-y+z)]-2f(x-y+z)^2=0 in Banach spaces. Moreover, another objective of this work is to...
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Dera Natung Government College
2024-12-01
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| Series: | Dera Natung Government College Research Journal |
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| Online Access: | https://dngc.ac.in/journals/index.php/dngcrj/article/view/181 |
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| author | Idir Sadani |
| author_facet | Idir Sadani |
| author_sort | Idir Sadani |
| collection | DOAJ |
| description | Within this manuscript, we shall delve into the direct method and explore the general solution as well as the classical stability of the ensuing reciprocal functional equation
[f(x-y+z)-f(3x+y-z)][f(x+y-z)+2f(x-y+z)]-2f(x-y+z)^2=0
in Banach spaces. Moreover, another objective of this work is to obtain another interesting result of stability of the same equation but this time, we make a little change of the above equation and we obtain a new stability result however with a supplementary condition on the mapping f. |
| format | Article |
| id | doaj-art-57efcde604e44f6f9b9faf761bbf2400 |
| institution | OA Journals |
| issn | 2456-8228 2583-5483 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Dera Natung Government College |
| record_format | Article |
| series | Dera Natung Government College Research Journal |
| spelling | doaj-art-57efcde604e44f6f9b9faf761bbf24002025-08-20T02:02:58ZengDera Natung Government CollegeDera Natung Government College Research Journal2456-82282583-54832024-12-0191283510.56405/dngcrj.2024.09.01.03181Exploring the stability of two different forms of a same functional equationIdir Sadani0https://orcid.org/0000-0002-1013-8842Department of Mathematics, University of Mouloud Mammeri 15000 Tizi-Ouzou. AlgeriaWithin this manuscript, we shall delve into the direct method and explore the general solution as well as the classical stability of the ensuing reciprocal functional equation [f(x-y+z)-f(3x+y-z)][f(x+y-z)+2f(x-y+z)]-2f(x-y+z)^2=0 in Banach spaces. Moreover, another objective of this work is to obtain another interesting result of stability of the same equation but this time, we make a little change of the above equation and we obtain a new stability result however with a supplementary condition on the mapping f.https://dngc.ac.in/journals/index.php/dngcrj/article/view/181reciprocal functional equationhyers-ulam-rassias stabilitybanach spacegeneral solutionsdirect method |
| spellingShingle | Idir Sadani Exploring the stability of two different forms of a same functional equation Dera Natung Government College Research Journal reciprocal functional equation hyers-ulam-rassias stability banach space general solutions direct method |
| title | Exploring the stability of two different forms of a same functional equation |
| title_full | Exploring the stability of two different forms of a same functional equation |
| title_fullStr | Exploring the stability of two different forms of a same functional equation |
| title_full_unstemmed | Exploring the stability of two different forms of a same functional equation |
| title_short | Exploring the stability of two different forms of a same functional equation |
| title_sort | exploring the stability of two different forms of a same functional equation |
| topic | reciprocal functional equation hyers-ulam-rassias stability banach space general solutions direct method |
| url | https://dngc.ac.in/journals/index.php/dngcrj/article/view/181 |
| work_keys_str_mv | AT idirsadani exploringthestabilityoftwodifferentformsofasamefunctionalequation |