Stability of various functional equations in non-Archimedean intuitionistic fuzzy normed spaces
type: Item
instance of: scholarly article
title: Stability of various functional equations in non-Archimedean intuitionistic fuzzy normed spaces
zbMATH Open document ID: 1269.46057
DOI: 10.1155/2012/234727
published in: Discrete Dynamics in Nature and Society
publication date: 2013-02-21T00:00:00Z
review text: Summary: We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of the \(t\)-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.
Mathematics Subject Classification ID: 46S40
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 6137723
zbMATH Keywords: non-Archimedean intuitionistic fuzzy normed space
zbMATH Keywords: stability
zbMATH Keywords: functional equations
Wikidata QID: Q58700398
author: S. A. Mohiuddine
author: Abdullah Alotaibi
author: M. A. Obaid
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/234727
OpenAlex ID: W2170145336
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description: scientific article; zbMATH DE number 6137723