On set-valued multiadditive functional equations

被引：1

作者：

Keyhani, Eqbal ^{[1
]}

Hassani, Mahmoud ^{[1
]}

Bodaghi, Abasalt ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

[2] Islamic Azad Univ, Dept Math, West Tehran Branch, Tehran, Iran

来源：

FILOMAT | 2024年 / 38卷 / 05期

关键词：

Multiadditive mapping; Set-valued mapping; Hyers-Ulam stability; Fixed point; STABILITY;

D O I：

10.2298/FIL2405847K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we obtain some representations of set-valued solutions defined on an abelian group G with values in a Hausdorff topological vector space of the generalized multiadditive functional equations. We also investigate the Hyers-Ulam stability of the mentioned earlier set-valued functional equations. Furthermore, we prove the Hyers-Ulam stability of the set-valued multiadditive mappings by applying a fixed point theorem.

引用

页码：1847 / 1857

页数：11

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