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초록
In this article, we investigate the generalized Hyers-Ulam stability of ternary homomorphisms from ternary semigroups into modular spaces. Ternary algebraic structures appear in theoretical and mathematical physics. We show the stability of that functional equation without 2-condition and Fatou property of the modular space. Moreover, we solve the same problem for -homogeneous Banach spaces and show a hyperstability of a mapping from ternary semigroups into normed algebras.
키워드
Generalized Hyers-Ulam stability; Ternary homomorphism; Modular space; Delta(2)-condition; Fatou property; β-homogeneous Banach space; HYERS-RASSIAS STABILITY; FUNCTIONAL-EQUATIONS; MAPPINGS
- 제목
- Approximate homomorphisms from ternary semigroups to modular spaces
- 저자
- Park, Choonkil; Rassias, J. M.; Bodaghi, Abasalt; Kim, Sang Og
- 발행일
- 2019-07
- 유형
- Article
- 권
- 113
- 호
- 3
- 페이지
- 2175 ~ 2188