Title :
On the Stability of a Linear Functional Equation in Generalized quasi-Banach Spaces
Author :
Cao, Jianbing ; Ma, Baolin
Author_Institution :
Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang, China
Abstract :
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the complex linear functional equation in complex generalized quasi-Banach spaces, and of the relative linear functional equation in complex generalized p-Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias´ well known paper about stability of the linear mapping in Banach spaces.
Keywords :
Banach spaces; functional equations; stability; Hyers-Ulam-Rassias stability; linear functional equation; p-Banach spaces; quasiBanach spaces; Equations; Industrial engineering; Mathematics; Space technology; Stability; Generalized p-Banach space; Generalized quasi-Banachspace; Hyers-Ulam-Rassias stability; Quasi-Banach space;
Conference_Titel :
Computing, Control and Industrial Engineering (CCIE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-4026-9
DOI :
10.1109/CCIE.2010.214
