THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (alpha,beta)-FUNCTIONAL EQUATION
- Title
- THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (alpha,beta)-FUNCTIONAL EQUATION
- Author
- 김희식
- Keywords
- Hyers-Ulam stability; additive (alpha, beta)-functional equation; fixed point method; direct method; Banach space
- Issue Date
- 2017-06
- Publisher
- EUDOXUS PRESS
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 23, no. 6, page. 1008-1015
- Abstract
- In this paper, we solve the additive (alpha, beta)-functional equationf(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.
- URI
- http://www.eudoxuspress.com/images/JOCAAA-2017-VOL-23-ISSUE-6.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/114481
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML