Functional inequalities in non-Archimedean normed spaces

Authors
Park, Choonkil
Citation
Park, Choonkil, Functional inequalities in non-Archimedean normed spaces, Acta mathematica Sinica. English series (Print) , 31(3), 2015, pp. 353-366
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
3
Year of publication
2015
Pages
353 - 366
Database
ACNP
SICI code
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.