首页|Stability analysis of approximately multidimensional additive mappings on fuzzy spaces

Stability analysis of approximately multidimensional additive mappings on fuzzy spaces

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The intention of this paper is to study new additive kind multi-dimensional func-tional 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 demon-strate 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 da-ta.The stability results obtained under these fuzzy spaces are compared with previous stability results.

additive mappingadditive functional equationUlam stabilitygeneralized Ulam-Hyers stability

B.V.Senthil Kumar、Hemen Dutta、S.Suresh

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Department of Mathematics,Saveetha School of Engineering,Saveetha Institute of Medical and Tech-nical Sciences,Chennai-602 105,Tamil Nadu,India

Department of Mathematics,Gauhati University,Guwahati-781 014,Assam,India

Department of Mathematics,Jeppiaar Institute of Technology,Sunguvarchatram-631 604,Sriperum-budur,Tamil Nadu,India

2024

高校应用数学学报B辑(英文版)
浙江大学 中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子:0.146
ISSN:1005-1031
年,卷(期):2024.39(4)