Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 376, Issue 1, Pages 193-202Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2010.10.004
Keywords
Linear 2-normed space; Additive mapping; Jensen mapping; Quadratic mapping
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In this paper, we investigate approximate additive mappings, approximate Jensen mappings and approximate quadratic mappings in 2-Banach spaces. That is, we prove the generalized Hyers-Ulam stability of the Cauchy functional equation, the Jensen functional equation and the quadratic functional equation in 2-Banach spaces. (C) 2010 Elsevier Inc. All rights reserved.
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