Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras
© 2020 by TJM. All rights reserved. In this work, we solve the following additive s-functional inequality: ‖f(x + y) − f(x) − f(y)‖ ≤ ‖s(f(x − y) − f(x) − f(−y))‖, (0.1) where s is a fixed nonzero complex number with |s| < 1. We prove the HyersUlam stability of the additive s-functional inequalit...
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th-cmuir.6653943832-707012020-10-14T08:39:34Z Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras Phakdi Charoensawan Raweerote Suparatulatorn Mathematics © 2020 by TJM. All rights reserved. In this work, we solve the following additive s-functional inequality: ‖f(x + y) − f(x) − f(y)‖ ≤ ‖s(f(x − y) − f(x) − f(−y))‖, (0.1) where s is a fixed nonzero complex number with |s| < 1. We prove the HyersUlam stability of the additive s-functional inequality (0.1) in complex Banach spaces by using the fixed point method and the direct method. Moreover, we prove the HyersUlam stability of hom-derivations in complex Banach algebras. 2020-10-14T08:39:34Z 2020-10-14T08:39:34Z 2020-09-01 Journal 16860209 2-s2.0-85091961930 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091961930&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70701 |
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Mathematics Phakdi Charoensawan Raweerote Suparatulatorn Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
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© 2020 by TJM. All rights reserved. In this work, we solve the following additive s-functional inequality: ‖f(x + y) − f(x) − f(y)‖ ≤ ‖s(f(x − y) − f(x) − f(−y))‖, (0.1) where s is a fixed nonzero complex number with |s| < 1. We prove the HyersUlam stability of the additive s-functional inequality (0.1) in complex Banach spaces by using the fixed point method and the direct method. Moreover, we prove the HyersUlam stability of hom-derivations in complex Banach algebras. |
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Journal |
| author |
Phakdi Charoensawan Raweerote Suparatulatorn |
| author_facet |
Phakdi Charoensawan Raweerote Suparatulatorn |
| author_sort |
Phakdi Charoensawan |
| title |
Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
| title_short |
Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
| title_full |
Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
| title_fullStr |
Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
| title_full_unstemmed |
Hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
| title_sort |
hyers-ulam stability of the additive s-functional inequality and hom-derivations in banach algebras |
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2020 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091961930&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70701 |
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