On an equation characterizing multi-Jensen-quadratic mappings and its Hyers–Ulam stability via a fixed point method

详细信息    查看全文

• 作者：Anna Bahyrycz ; Krzysztof Ciepliński
• 关键词：Multi ; Jensen ; quadratic mapping ; (generalized) Hyers–Ulam stability ; fixed point method ; non ; Archimedean space
• 刊名：Journal of Fixed Point Theory and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：18
• 期：4
• 页码：737-751
• 全文大小：674 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Mathematical Methods in Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-7746
• 卷排序：18

文摘

In this paper, we unify the system of functional equations defining a multi-Jensen-quadratic mapping to obtain a single equation. We also prove, using the fixed point method, the generalized Hyers–Ulam stability of this equation both in Banach spaces and in complete non-Archimedean normed spaces.