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On the stability of an additive functional inequality in normed modules
- Authors
- Park, Choonkil
- Issue Date
- Jan-2013
- Publisher
- Nova Science Publishers, Inc.
- Keywords
- Fixed point; Functional equation; Functional inequality; Generalized Hyers-Ulam stability; Linear mapping in normed modules over a C*-algebra
- Citation
- Functional Equations, Difference Inequalities and Ulam Stability Notions (F.U.N.), pp.107 - 118
- Indexed
- SCOPUS
- Journal Title
- Functional Equations, Difference Inequalities and Ulam Stability Notions (F.U.N.)
- Start Page
- 107
- End Page
- 118
- ISSN
- 0000-0000
- Abstract
- In this paper, we investigate the following additive functional inequality in normed modules over a C*-algebra. This is applied to understand homomorphisms in C*-algebras. Moreover, we prove the generalized Hyers-Ulam stability of the following functional inequality in real Banach spaces, where θ, p are positive real numbers with p ≠ 1. Using fixed point methods, we prove the generalized Hyers-Ulam stability of the previous functional inequality in real Banach spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)