Stability of Various Functional Equations in Non‐Archimedean Intuitionistic Fuzzy Normed Spaces | Zendy

S. A. Mohiuddine | Zendy; Abdullah Alotaibi | Zendy; Mustafa A. A. Obaid | Zendy

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Stability of Various Functional Equations in Non‐Archimedean Intuitionistic Fuzzy Normed Spaces

Author(s) -

S. A. Mohiuddine,

Abdullah Alotaibi,

Mustafa A. A. Obaid

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/234727

Subject(s) - mathematics , normed vector space , pure mathematics , stability (learning theory) , norm (philosophy) , functional equation , fuzzy logic , cauchy distribution , space (punctuation) , functional analysis , discrete mathematics , algebra over a field , mathematical analysis , differential equation , computer science , artificial intelligence , machine learning , political science , law , operating system , biochemistry , chemistry , gene

We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces

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