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Approximation of an AQCQ-functional equation and its applications
- Authors
- Park, Choonkil; Lee, Jung Rye
- Issue Date
- Nov-2011
- Publisher
- Australian Internet Publishing
- Keywords
- Additive-quadraticcubic-quartic functional equation; Fixed point; Generalized Hyers-Ulam stability; Non-Archimedean Banach space; Random Banach space
- Citation
- Australian Journal of Mathematical Analysis and Applications, v.8, no.1, pp 1 - 39
- Pages
- 39
- Indexed
- SCOPUS
- Volume
- 8
- Number
- 1
- Start Page
- 1
- End Page
- 39
- ISSN
- 1449-5910
- Abstract
- This paper is a survey on the generalized Hyers-Ulam stability of an AQCQ-functional equation in several spaces. Its content is divided into the following sections: 1. Introduction and preliminaries. 2. Generalized Hyers-Ulam stability of an AQCQ-functional equation in Banach spaces: direct method. 3. Generalized Hyers-Ulam stability of an AQCQ-functional equation in Banach spaces: fixed point method. 4. Generalized Hyers-Ulam stability of an AQCQ-functional equation in random Banach spaces: direct method. 5. Generalized Hyers-Ulam stability of an AQCQ-functional equation in random Banach spaces: fixed point method. 6. Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces: direct method. 7. Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces: fixed point method.
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