ADDITIVE FUNCTIONAL INEQUALITIES IN 2-Banach SPACES

Title
ADDITIVE FUNCTIONAL INEQUALITIES IN 2-Banach SPACES
Authors
박춘길
Keywords
Hyers-Ulam stability; linear 2-normed space; additive mapping; additive functional inequality; superstability
Issue Date
2013-11
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Citation
Journal of Inequalities & Applications, Dec 2013, 2013(1), p1-10. 10p.
Abstract
We prove the Hyers-Ulam stability of the Cauchy functional inequality and the Cauchy-Jensen functional inequality in 2-Banach spaces. Moreover, we prove the superstability of the Cauchy functional inequality and the Cauchy-Jensen functional inequality in 2-Banach spaces under some conditions.
URI
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-447http://hdl.handle.net/20.500.11754/55462
ISSN
1025-5834; 1029-242X
DOI
http://dx.doi.org/10.1186/1029-242X-2013-447
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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