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.
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页码：469 / 485
页数：17
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