Generalised Ulam-Hyers Stability Analysis for System of Additive Functional Equation in Fuzzy and Random Normed Spaces: Direct and Fixed Point Approach

被引：1
作者：
Agilan, P. [1 ]
Julietraja, K. [2 ]
Aljohani, Sarah [3 ]
Mlaiki, Nabil [3 ]
机构：
[1] St Josephs Coll Engn, Dept Math, Chennai 600119, TamilNadu, India
[2] Presidency Univ, Sch Engn, Dept Math, Bengaluru 560064, Karnataka, India
[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷
关键词：
random normed spaces; fuzzy normed spaces; additive functional equations; Ulam-Hyers stability; fixed point method; THEOREM;
D O I：
10.28924/2291-8639-22-2024-201
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a new system of Functional Equations is proposed. The Ulam-Hyers stability of this class of equations is investigated using the product, sum, and mixed product-sum of powers of norms, as well as the general control function. The stability analysis is carried out in random and fuzzy normed spaces using fixed point and direct methods. One of the unique and interesting aspects of this study is that, three new and different kinds of FEs have been introduced and the stability analysis is derived for all three equations simultaneously.
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页数：20
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