ON THE HYERS-ULAM SOLUTION AND STABILITY PROBLEM FOR GENERAL SET-VALUED EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS

被引：1
|
作者：
Zhang, Dongwen [1 ]
Rassias, John Michael [1 ,2 ]
Li, Yongjin [3 ]
机构：
[1] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China
[2] Natl & Kapodistrian Univ Athens, Dept Math & Informat, Attikis 15342, Greece
[3] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
KOREAN JOURNAL OF MATHEMATICS | 2022年 / 30卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hyers-Ulam-Rassias stability; Hausdorff distance; Approximation; Set-valued functional equations; The fixed point alternative theorem; The Euler-Lagrange set-valued functional equation; RASSIAS STABILITY;
D O I：
10.11568/kjm.2022.30.4.571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By established a Banach space with the Hausdorff distance, we intro-duce the alternative fixed-point theorem to explore the existence and uniqueness of a fixed subset of Y and investigate the stability of set-valued Euler-Lagrange functional equations in this space. Some properties of the Hausdorff distance are furthermore explored by a short and simple way.
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页码：571 / 592
页数：22
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