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Approximate homomorphisms from ternary semigroups to modular spaces
- Issue Date
- Jul-2019
- Publisher
- SPRINGER-VERLAG ITALIA SRL
- Keywords
- Generalized Hyers-Ulam stability; Ternary homomorphism; Modular space; Delta(2)-condition; Fatou property; β-homogeneous Banach space
- Citation
- REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v.113, no.3, pp.2175 - 2188
- Indexed
- SCIE
SCOPUS
- Journal Title
- REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
- Volume
- 113
- Number
- 3
- Start Page
- 2175
- End Page
- 2188
- ISSN
- 1578-7303
- 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.
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