APPROXIMATION OF DRYGAS FUNCTIONAL EQUATION IN QUASI-BANACH SPACE

被引：0

作者：

Sharma, Ravinder Kumar ^{[1
]}

Chandok, Sumit ^{[1
]}

机构：

[1] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, India

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2023年 / 41卷 / 03期

关键词：

Drygas functional equation; Hyers-Ulam-Rassias stability; hyperstability; Quasi-Banach spaces; ULAM-RASSIAS STABILITY; HYPERSTABILITY;

D O I：

10.14317/jami.2023.469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Hyers-Ulam-Rassias stability for a Drygas functional equation g(u + v) + g(u - v) = 2g(u) + g(v) + g(-v) in the setting of quasi-Banach space using fixed point approach. Also, we give general results on hyperstability of a Drygas functional equation. The results obtain in this paper extend various previously known results in the setting of quasi-Banach space. Some examples are also illustrated.

引用

页码：469 / 485

页数：17

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