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Stability of hyper homomorphisms and hyper derivations in complex Banach algebras
- Issue Date
- Mar-2022
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- Hyers-Ulam stability; 3-additive functional equation; hyper derivation; hyper homomrphism; 3-linear mapping
- Citation
- AIMS MATHEMATICS, v.7, no.6, pp.10700 - 10710
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 7
- Number
- 6
- Start Page
- 10700
- End Page
- 10710
- ISSN
- 2473-6988
- Abstract
- In this paper, we introduce the concept of hyper homomorphisms and hyper derivations in Banach algebras and we establish the stability of hyper homomorphisms and hyper derivations in Banach algebras for the following 3-additive functional equation: g(x(1) + x(2), y(1) + y(2),z(1) + z(2)) = Sigma(2)(i,j,k=1) g(x(i), y(j), z(k)).
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)