상세 보기
초록
In this paper, we investigate the additive (α, β)-functional equation (Formula presented) 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 the additive (α, β)-functional equation (0.1) in complex Banach spaces.
키워드
Hyers-Ulam stability; additive (α, β)-functional equation; C-linear mapping; fixed point method; direct method; complex Banach space
- 제목
- An additive (α, β)-functional equation and linear mappings in Banach spaces
- 저자
- Park, Choonkil; Jang, Sun Young; Cho, Young
- 발행일
- 2018-08
- 유형
- Article
- 권
- 25
- 호
- 2
- 페이지
- 355 ~ 363