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Additive s-functional inequality and hom-derivations in Banach algebras

Title
Additive s-functional inequality and hom-derivations in Banach algebras
Author
박춘길
Keywords
Hyers-Ulam stability; hom-derivation in Banach algebra; additive s-functional inequality; fixed point method; direct method
Issue Date
2019-03
Publisher
SPRINGER BASEL AG
Citation
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v. 21, NO 1, UNSP 18
Abstract
In this paper, we introduce and solve the following additive s- functional inequality: f ( x + y) - f( x) - f( y) = s( f( x - y) - f( x) - f(- y)) where s is a fixed nonzero complex number with | s| < 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive s-functional inequality (0.1) in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of hom-derivations in complex Banach algebras.
URI
https://link.springer.com/article/10.1007%2Fs11784-018-0652-0https://repository.hanyang.ac.kr/handle/20.500.11754/110322
ISSN
1661-7738; 1661-7746
DOI
10.1007/s11784-018-0652-0
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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