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

被引：32

作者：

Brzdek, Janusz ^{[1
]}

Cieplinski, Krzysztof ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 470卷 / 01期

关键词：

Fixed point theorem; n-normed space; Ulam stability; Difference equation; Functional equation; FUNCTIONAL-EQUATIONS; LINEAR RECURRENCE; HYERS;

D O I：

10.1016/j.jmaa.2018.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：632 / 646

页数：15

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