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Fixed points and partial multipliers in Banach algebras
- Authors
- Hwang, Inho; Park, Choonkil
- Issue Date
- Mar-2020
- Publisher
- SPRINGER BASEL AG
- Keywords
- Partial multiplier; fixed point method; C*-algebra; Hyers-Ulam stability; additive functional inequality; C*-ternary algebra; Lie C*-algebra; JC *-algebra
- Citation
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.22, no.1, pp.1 - 23
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
- Volume
- 22
- Number
- 1
- Start Page
- 1
- End Page
- 23
- ISSN
- 1661-7738
- Abstract
- In this paper, we solve the additive functional inequalities where s is a fixed nonzero complex number with vertical bar s vertical bar < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequalities (1) and (2) in complex Banach spaces. This is applied to investigate partial multipliers in Banach*-algebras, unital C*-algebras, Lie C*-algebras, JC*-algebras and C*-ternary algebras, associated with the additive functional inequalities (1) and (2).
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)