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초록
In this paper, we investigate the additive (α,β)-functional equation f(x+y)+α¯f(αz)=β−1f(β(x+y+z)) 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 this additive (α,β)-functional equation in complex Banach spaces.
키워드
Hyers-Ulam stability; additive (alpha,beta)-functional equation; C-linear mapping; fixed point method; direct method; complex Banach space; CAUCHY FUNCTIONAL-EQUATION; GENERALIZED STABILITY; FIXED-POINTS
- 제목
- An additive (α,β)-functional equation and linear mappings in Banach spaces
- 저자
- Park, Choonkil
- 발행일
- 2016-09
- 유형
- Article
- 권
- 18
- 호
- 3
- 페이지
- 495 ~ 504