Hyers-Ulam stability of a-type additive functional equations in Banach space using direct method

被引：0

作者：

Karthick, P. ^{[1
]}

Balasubramanian, G. ^{[1
]}

Govindan, Vediyappan ^{[2
]}

Khan, Muhammad Ijaz ^{[3
]}

Amalraj, J. Leo ^{[4
]}

Bala, A. Jyothi ^{[5
]}

机构：

[1] Govt Arts Coll Men, Dept Math, Krishnagiri, India

[2] Hindustan Inst Technol & Sci, Dept Math, Chennai 603103, Tamil Nadu, India

[3] Prince Mohammed Bin Fahd Univ, Coll Engn, Dept Mech Engn, Dhahran, Saudi Arabia

[4] RMK Coll Engn & Technol, Dept Sci & Humanities, Puduvoyal 601206, Tamil Nadu, India

[5] RMD Engn Coll, Dept Math, Kavaraipettai 601206, India

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2025年 / 36卷 / 02期

关键词：

Additive functional equation; Banach space; direct method; Hyers-Ulam stability; RASSIAS STABILITY; MAPPINGS;

D O I：

10.22436/jmcs.036.02.07

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the new kind of a-type additive functional equation and investigate the Hyers-Ulam stability of a-type additive functional equations within the Banach spaces using the direct method. This approach provides a straightforward and efficient way to establish the stability of functional equations without relying on more complex or indirect techniques. We begin by defining the specific a-type additive functional equation under consideration and outlining the conditions required for its stability.Through rigorous mathematical analysis, we demonstrate that under certain constraints, the functional equation exhibits Hyers-Ulam stability.

引用

页码：229 / 236

页数：8

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