Functional equations and inequalities in paranormed spaces

Journal of inequalities and applications

Choonkil Park¹ 

关键词: Jordan-von Neumann functional equation;    Hyers-Ulam stability;    paranormed space;    fixed point;    functional equation;    functional inequality;   

DOI  :  10.1186/1029-242X-2013-198

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of an additive functional equation, a quadratic functional equation, a cubic functional equation and a quartic functional equation in paranormed spaces. Furthermore, we prove the Hyers-Ulam stability of functional inequalities in paranormed spaces by using the fixed point method and the direct method. MSC:35A17, 47H10, 39B52, 39B72.

【 授权许可】

CC BY