ON STABILITY AND HYPERSTABILITY OF AN EQUATION CHARACTERIZING MULTI-ADDITIVE MAPPINGS

被引：11

作者：

Bahyrycz, Anna ^{[1
]}

机构：

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

来源：

FIXED POINT THEORY | 2017年 / 18卷 / 02期

关键词：

Multi-additive mapping; Hyers-Ulam stability; hyperstability; fixed point theorem;

D O I：

10.24193/fpt-ro.2017.2.35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the fixed point approach, we prove some stability and hyperstability results for an equation characterizing multi-additive mappings. Our results generalize some known outcomes. In particular, we give a solution of a problem concerning optimality of some estimations.

引用

页码：445 / 456

页数：12

共 15 条

[1]

[Anonymous], 2009, CAUCHYS EQUATION JEN

[2]

Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI [10.2969/jmsj/00210064, DOI 10.2969/JMSJ/00210064]

[3] CLASSES OF TRANSFORMATIONS AND BORDERING TRANSFORMATIONS [J].