The Cauchy-Optimal Stability Results for Cauchy-Jensen Additive Mappings in the Fuzzy Banach Space and the Unital Fuzzy Banach Space

被引：2

作者：

Eidinejad, Zahra ^{[1
]}

Saadati, Reza ^{[1
]}

Srivastava, Hari M. ^{[2
,3
,4
,5
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1311416846, Iran

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 2Y2, Canada

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[4] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[5] Kyung Hee Univ, Ctr Converging Humanities, 26 Kyungheedae-ro, Seoul 02447, South Korea

来源：

AXIOMS | 2023年 / 12卷 / 04期

关键词：

Cauchy additive mapping; Jensen additive mapping; stability; isomorphism; fuzzy Banach space; unital space; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION;

D O I：

10.3390/axioms12040405

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we apply a new class of fuzzy control functions to approximate a Cauchy additive mapping in fuzzy Banach space (FBS). Further, considering the unital FBS (UFBS), we will investigate the isomorphisms defined in this space. By introducing several specific functions and choosing the optimal control function from among these functions, we evaluate the Cauchy-Optimal stability (C-O-stability) for all defined mappings.

引用

页数：14

共 17 条

[1] Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces [J].