Stability analysis of approximately multidimensional additive mappings on fuzzy spaces  

作　　者：B.V.Senthil Kumar Hemen Dutta S.Suresh 

机构地区：[1]Department of Mathematics,Saveetha School of Engineering,Saveetha Institute of Medical and Technical Sciences,Chennai-602105,Tamil Nadu,India [2]Department of Mathematics,Gauhati University,Guwahati-781014,Assam,India [3]Department of Mathematics,Jeppiaar Institute of Technology,Sunguvarchatram-631604,Sriperumbudur,Tamil Nadu,India

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期700-720,共21页高校应用数学学报（英文版）（B辑）

基　　金：The second author is supported by the Science and Engineering Research Board(SERB)of India(MTR/2020/000534).

摘　　要：The intention of this paper is to study new additive kind multi-dimensional functional equations inspired by several applications of difference equations in biology,control theory,economics,and computer science,as well as notable implementation of fuzzy ideas in certain situations involving ambiguity or vagueness.In the context of different fuzzy spaces,we demonstrate their various fundamental stabilities related to Ulam stability theory.An appropriate example is given to show how stability result fails when the singular case occurs.The findings of this study suggest that stability results are valid in situations with uncertain or imprecise data.The stability results obtained under these fuzzy spaces are compared with previous stability results.

关 键 词：additive mapping additive functional equation Ulam stability generalized Ulam-Hyers stability 

分 类 号：O177[理学—数学]