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Bihom derivations in Banach algebras
- Authors
- Hwang, Inho; Park, Choonkil
- Issue Date
- Sep-2019
- Publisher
- SPRINGER BASEL AG
- Keywords
- Bihom-biderivation; complex Banach algebra; Hyers-Ulam stability; fixed point method; bi-additive s-functional inequality
- Citation
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.21, no.3, pp.1 - 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
- Volume
- 21
- Number
- 3
- Start Page
- 1
- End Page
- 14
- ISSN
- 1661-7738
- Abstract
- In this paper, we introduce bihom derivations in complex Banach algebras. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of bihom derivations in complex Banach algebras, associated with the bi-additive s-functional inequality f(x+y,z-w)+f(x-y,z+w)-2f(x,z)+2f(y,w)<= s<2fx+y2,z-w+2fx-y2,z+w-2f(x,z)+2f(y,w), where s is a fixed nonzero complex number with |s|<1.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)