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THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (α, β)-FUNCTIONAL EQUATION
- Authors
- Yun, Sungsik; Park, Choonkil; Kimk, Hee Sik
- Issue Date
- Nov-2017
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive (alpha, beta)-functional equation; fixed point method; direct method; Banach space
- Citation
- Journal of Computational Analysis and Applications, v.23, no.6, pp 1008 - 1015
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 23
- Number
- 6
- Start Page
- 1008
- End Page
- 1015
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we solve the additive (alpha, beta)-functional equation f(x) + f(y) + 2f(z) = alpha f(beta(x + y + 2z)), (0.1) where alpha,beta are fixed real or complex numbers with alpha not equal 4 and alpha beta = 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (alpha,beta)-functional equation (0.1) in Banach spaces.
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