On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability

The Journal of Nonlinear Sciences and its Applications

KrzysztofCiepliński¹ 

[1] Faculty of Applied Mathematics, AGH University of Science and Technology,Mickiewicza 30, 30-059 Krakow, Poland

关键词: Hyers-Ulam stability;    functional equation;    system of functional equations;   

DOI  :  10.22436/jnsa.010.11.28

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

We introduce the notion of a bi-linear mapping which generalizes some known ones, and note that bi-linear mappings satisfy a functional equation. The Hyers-Ulam stability of this equation is studied in Banach, \(2\)-Banach and complete non-Archimedean normed spaces.

【 授权许可】

Unknown