Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy ?-2-Normed Spaces and Non-Archimedean Banach Spaces

被引：0

作者：

Tamilvanan, Kandhasamy ^{[1
]}

Alkhaldi, Ali H. ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

Alanazi, Abdulaziz M. ^{[4
]}

机构：

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

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

[3] Texas A&M Univ Kingsville, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USA

[4] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 02期

关键词：

non-Archimedean phi-2-normed space; fixed point; quadratic-additive functional equation;

D O I：

10.3390/math11020270

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy phi-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.

引用

页数：24

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