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초록
First we investigate the Hyers-Ulam stability of the Cauchy functional equation for mappings from bounded (unbounded) intervals into Banach spaces. Then we study the Hyers-Ulam stability of the functional equation f(xy)=xg(y)+h(x)y for mappings from bounded (unbounded) intervals into multi-normed spaces.
키워드
Multi-normed space; Hyers-Ulam stability; Cauchy functional equation; FUNCTIONAL-EQUATION
- 제목
- Local stability of mappings on multi-normed spaces
- 저자
- Park, Choonkil; Noori, Batool; Moghimi, Mohammad Bagher; Najati, Abbas; Rassias, John Michael
- 발행일
- 2020-08
- 유형
- Article
- 권
- 2020
- 호
- 1
- 페이지
- 1 ~ 14