Functional inequalities in non-Archimedean normed spaces

Title
Functional inequalities in non-Archimedean normed spaces
Author
박춘길
Keywords
Jordan-von Neumann functional equation; non-Archimedean normed space; Banach space; Hyers-Ulam stability; functional inequality
Issue Date
2015-03
Publisher
SPRINGER HEIDELBERG
Citation
ACTA MATHEMATICA SINICA-ENGLISH SERIES, v. 31, NO 3, Page. 353-366
Abstract
In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.
URI
http://link.springer.com/article/10.1007%2Fs10114-015-4278-5http://hdl.handle.net/20.500.11754/23436
ISSN
1439-8516; 1439-7617
DOI
10.1007/s10114-015-4278-5
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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