431
0
ADDITIVE (alpha, beta)-FUNCTIONAL EQUATIONS AND LINEAR MAPPINGS
- Title
- ADDITIVE (alpha, beta)-FUNCTIONAL EQUATIONS AND LINEAR MAPPINGS
- Author
- 박춘길
- Keywords
- Hyers-Ulam stability; additive (alpha, beta)-functional equation; C-linear mapping; fixed point method; direct method
- Issue Date
- 2018-12
- Publisher
- UNIV MISKOLC INST MATH
- Citation
- MISKOLC MATHEMATICAL NOTES, v. 19, no. 2, page. 1107-1115
- Abstract
- In this paper, we investigate the additive (alpha, beta)-functional equationf(x) + (alpha) over barf(alpha y) + f(z) = beta(-1)f(beta(x + y + z))for all complex numbers alpha with vertical bar alpha vertical bar = 1 and for a fixed nonzero complex number beta.Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (alpha, beta)-functional equation (alpha, beta) in complex Banach spaces.
- ISSN
- 1787-2405; 1787-2413
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
