Hyers-Ulam stability of horn-derivations in Banach algebras
- Authors
- Mouktonglang, Thanasak; Suparatulatorn, Raweerote; Park, Choonkil
- Issue Date
- Aug-2022
- Publisher
- NORTH UNIV BAIA MARE
- Keywords
- Hyers-Ulam stability; hom-derivation in Banach algebra; fixed point method; direct method
- Citation
- CARPATHIAN JOURNAL OF MATHEMATICS, v.38, no.3, pp.839 - 846
- Indexed
- SCIE
SCOPUS
- Journal Title
- CARPATHIAN JOURNAL OF MATHEMATICS
- Volume
- 38
- Number
- 3
- Start Page
- 839
- End Page
- 846
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/171542
- DOI
- 10.37193/CJM.2022.03.26
- ISSN
- 1584-2851
- Abstract
- In this work, we prove the Hyers-Ulam stability of hom-derivations in complex Banach algebras, associated with the additive (s(1), s(2))-functional inequality: parallel to f(a + b) - f(a) - f(b)parallel to <= parallel to s(1) (f(a + b) + f(a - b) - 2f(a))parallel to (0.1) +parallel to s(2) (2f(a + b/2) - f(a) - f(b))parallel to, where s(1) and s(2) are fixed nonzero complex numbers with -root 2 vertical bar s(1)vertical bar + vertical bar s(2)vertical bar < 1.
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