Approximate homomorphisms from ternary semigroups to modular spaces
- Title
- Approximate homomorphisms from ternary semigroups to modular spaces
- Author
- 박춘길
- Keywords
- Generalized Hyers-Ulam stability; Ternary homomorphism; Modular space; Delta(2)-condition; Fatou property; beta-homogeneous Banach space
- Issue Date
- 2019-07
- Publisher
- SPRINGER-VERLAG ITALIA SRL
- Citation
- REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v. 113, no. 3, Page. 2175-2188
- Abstract
- 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.
- URI
- https://link.springer.com/article/10.1007%2Fs13398-018-0608-7https://repository.hanyang.ac.kr/handle/20.500.11754/152347
- ISSN
- 1578-7303; 1579-1505
- DOI
- 10.1007/s13398-018-0608-7
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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