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A GENERAL ADDITIVE FUNCTIONAL INEQUALITY AND DERIVATION IN BANACH ALGEBRASopen access
- Authors
- Israr, Muhammad; Lu, Gang; Jin, Yuanfeng; Park, Choonkil
- Issue Date
- Mar-2021
- Publisher
- ELEMENT
- Keywords
- Hyers-Ulam stability; general additive functional inequality; homomorphism and derivation in complex Banach algebra; fixed point method; hyperstability
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.15, no.1, pp.305 - 321
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 15
- Number
- 1
- Start Page
- 305
- End Page
- 321
- ISSN
- 1846-579X
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in complex Banach algebras and complex Banach Lie algebras and also of derivations on complex Banach algebras and complex Banach Lie algebras for the general additive functional in-equality parallel to f(alpha x-beta y)- alpha f(x) beta f(-y)parallel to <= parallel to r(f(alpha x+ beta y) - beta f(y)parallel to, where r is a fixed nonzero complex number with vertical bar r vertical bar < 1 and alpha,beta not equal 0.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)