Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces

被引：4

作者：

Tamilvanan, Kandhasamy ^{[1
]}

Alkhaldi, Ali H. ^{[2
]}

Jakhar, Jyotsana ^{[3
]}

Chugh, Renu ^{[3
]}

Jakhar, Jagjeet ^{[4
]}

Rassias, John Michael ^{[5
]}

机构：

[1] RMK Engn Coll, Dept Math, Fac Sci & Humanities, Tiruvallur 601206, Tamil Nadu, India

[2] King Khalid Univ, Coll Sci, Dept Math, Abha 61421, Saudi Arabia

[3] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India

[4] Cent Univ Haryana, Dept Math, Mahendergarh 123031, Haryana, India

[5] Natl & Kapodistrian Univ Athens, Pedag Dept Math & Informat, Attikis 15342, Greece

来源：

MATHEMATICS | 2023年 / 11卷 / 02期

关键词：

quartic and quintic functional equations; modular spaces; 2-Banach spaces; refined stability; RASSIAS STABILITY; HYERS;

D O I：

10.3390/math11020371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the & UDelta;2-condition using the direct method (Hyers method). We also examine Ulam stability in 2-Banach space using the direct method. Additionally, using a suitable counterexample, we eventually demonstrate that the stability of these equations fails in a certain case.

引用

页数：23

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