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Derivation-homomorphism functional inequalitiesopen access
- Authors
- Park, Choonkil
- Issue Date
- Mar-2021
- Publisher
- ELEMENT
- Keywords
- Hyers-Ulam stability; direct method; fixed point method; additive-additive (s,t)-functional inequality; derivation in Banach algebra; homomorphism in Banach algebra
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.15, no.1, pp.95 - 105
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 15
- Number
- 1
- Start Page
- 95
- End Page
- 105
- ISSN
- 1846-579X
- Abstract
- In this paper, we introduce and solve the following additive-additive (s,t)-functional inequality parallel to g(x +y) - g(x) - g(y)parallel to + parallel to h(x + y) + h(x - y) - 2h(x)parallel to <= parallel to s(2g(x+y/2) - g(x) - g(y)) parallel to + parallel to t (2h(x+y/2) + 2h(x-y/2) - 2h(x)parallel to, (1) when s and t arc fixed nonzero complex numbers with vertical bar s vertical bar < 1 and vertical bar t vertical bar < 1. Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of derivation-homomorphisms in complex Banach algebras, associated to the additive-additive (s,t)-functional inequality (1) and the following functional inequality parallel to g(xy) - g(x)y - xg(y)parallel to + parallel to h(xy) - h(x)h(y)parallel to <= phi(x,y). (2)
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)