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An additive (α,β)-functional equation and linear mappings in Banach spaces
- Authors
- Park, Choonkil
- Issue Date
- Sep-2016
- Publisher
- Birkhauser Verlag
- Keywords
- Hyers-Ulam stability; additive (alpha,beta)-functional equation; C-linear mapping; fixed point method; direct method; complex Banach space
- Citation
- Journal of Fixed Point Theory and Applications, v.18, no.3, pp 495 - 504
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Fixed Point Theory and Applications
- Volume
- 18
- Number
- 3
- Start Page
- 495
- End Page
- 504
- ISSN
- 1661-7746
1661-7746
- Abstract
- In this paper, we investigate the additive (α,β)-functional equation f(x+y)+α¯f(αz)=β−1f(β(x+y+z)) 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 this additive (α,β)-functional equation in complex Banach spaces.
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