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Approximation of an AQCQ-functional equation and its applications

Title
Approximation of an AQCQ-functional equation and its applications
Author
박춘길
Keywords
Additive-quadraticcubic-quartic functional equation; Fixed point; Generalized Hyers-Ulam stability; Non-Archimedean Banach space; Random Banach space
Issue Date
2011-11
Publisher
Hanyang University
Citation
Australian Journal of Mathematical Analysis and Applications, 2011, 8(1), P.
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. © 2011 Austral Internet Publishing.
URI
http://www.scopus.com/record/display.uri?eid=2-s2.0-84855414359&origin=inward&txGid=52c13e76e7173c3197e0e91b3899769ehttp://hdl.handle.net/20.500.11754/66293
ISSN
1449-5910
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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