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An additive (α, β)-functional equation and linear mappings in Banach spaces

Authors
Park, ChoonkilJang, Sun YoungCho, Young
Issue Date
Aug-2018
Publisher
Kluwer Academic Publishers
Keywords
Hyers-Ulam stability; additive (α, β)-functional equation; C-linear mapping; fixed point method; direct method; complex Banach space
Citation
Journal of Computational Analysis and Applications, v.25, no.2, pp 355 - 363
Pages
9
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
25
Number
2
Start Page
355
End Page
363
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149645
ISSN
1521-1398
1572-9206
Abstract
In this paper, we investigate the additive (α, β)-functional equation (Formula presented) for all complex numbers α with |α| = 1 and for a fixed nonzero complex number β. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (α, β)-functional equation (0.1) in complex Banach spaces.
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