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
- EUDOXUS PRESS, LLC
- 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
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 23
- Number
- 6
- Start Page
- 1008
- End Page
- 1015
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/151365
- ISSN
- 1521-1398
- 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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