Fixed point methods for the generalized stability of functional equations in a single variable

被引：215

作者：

Cadariu, Liviu ^{[1
]}

Radu, Viorel ^{[2
]}

机构：

[1] Univ Politehn Timisoara, Dept Matemat, Timisoara 300006, Romania

[2] Univ Vest Timisoara, Fac Matemat Informat, Timisoara 300223, Romania

来源：

FIXED POINT THEORY AND APPLICATIONS | 2008年 / 2008卷 / 1期

关键词：

D O I：

10.1155/2008/749392

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for the square root spiral. The stability results have been obtained by a fixed point method. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator. Copyright (C) 2008.

引用

页数：15

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