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An additive (α, β)-functional equation and linear mappings in Banach spaces
- Authors
- Park, Choonkil; Jang, Sun Young; Cho, Young
- Issue Date
- Aug-2018
- Publisher
- Eudoxus Press, LLC
- 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
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 25
- Number
- 2
- Start Page
- 355
- End Page
- 363
- ISSN
- 1521-1398
- 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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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)