A fixed point theorem in n-Banach spaces and Ulam stability

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Brzdek, Janusz¹  Cieplinski, Krzysztof¹ 

[1] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland

关键词: Fixed point theorem;    n-normed space;    Ulam stability;    Difference equation;    Functional equation;   

DOI  :  10.1016/j.jmaa.2018.10.028

来源: Elsevier

【 摘 要 】

Motivated by some issues in Ulam stability, we prove a fixed point theorem for operators acting on some classes of functions, with values in n-Banach spaces. We also present applications of it to Ulam stability of eigenvectors and some functional and difference equations. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free