Stability Results of Mixed Type Quadratic-Additive Functional Equation in β-Banach Modules by Using Fixed-Point Technique

被引：4

作者：

Tamilvanan, Kandhasamy ^{[1
]}

Alqahtani, Rubayyi T. ^{[2
]}

Mohiuddine, Syed Abdul ^{[3
,4
]}

机构：

[1] Kalasalingam Acad Res & Educ, Dept Math, Sch Adv Sci, Krishnankoil 626126, Tamil Nadu, India

[2] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Dept Math & Stat, Coll Sci, Riyadh 11566, Saudi Arabia

[3] King Abdulaziz Univ, Fac Appl Studies, Dept Gen Required Courses, Math, Jeddah 21589, Saudi Arabia

[4] King Abdulaziz Univ, Dept Math, Operator Theory & Applicat Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

关键词：

quadratic-additive functional equation; fixed point approach; beta-Banach module; Hyers-Ulam stability; ULAM-RASSIAS STABILITY;

D O I：

10.3390/math10030493

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We aim to introduce the quadratic-additive functional equation (shortly, QA-functional equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam result with a view of the aforementioned functional equation by utilizing the technique based on a fixed point in the framework of beta-Banach modules. We here discuss our results for odd and even mappings as well as discuss the stability of mixed cases.

引用

页数：21

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