Stability of the Frechet Equation in Quasi-Banach Spaces

被引：0

作者：

Kim, Sang Og ^{[1
]}

机构：

[1] Hallym Univ, Sch Data Sci, Chunchon 24252, South Korea

来源：

MATHEMATICS | 2020年 / 8卷 / 04期

关键词：

Hyers-Ulam stability; hyperstability; Frechet equation; quasi-Banach space; fixed point theorem; HYERS-ULAM STABILITY; CUBIC FUNCTIONAL-EQUATION;

D O I：

10.3390/math8040490

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the Hyers-Ulam stability of the well-known Frechet functional equation that comes from a characterization of inner product spaces. We also show its hyperstability on a restricted domain. We work in the framework of quasi-Banach spaces. In the proof, a fixed point theorem due to Dung and Hang, which is an extension of a fixed point theorem in Banach spaces, plays a main role.

引用

页数：20

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