A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces

被引:17
作者
Brzdek, Janusz [1 ]
Cieplinski, Krzysztof [1 ]
机构
[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland
关键词
Non-Archimedean normed space; Fixed point; Hyers-Ulam stability; Linear functional equation; Square symmetric groupoid; FUNCTIONAL-EQUATIONS; ADDITIVE MAPPINGS; NORMED SPACES; FIELDS;
D O I
10.1016/j.jmaa.2012.11.011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove a fixed point theorem in complete non-Archimedean normed spaces and show its applications in the Hyers-Ulam stability of some functional equations. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:68 / 75
页数:8
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