Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces

Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in caseof approximation of a given functional equation in Banach spaces,fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approxi...

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Bibliographic Details
Main Authors: Pratap Mondal, Nabin Chandra Kayal, T K Samanta
Format: Article
Language:English
Published: Tokat Gaziosmanpasa University 2016-05-01
Series:Journal of New Results in Science
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/270118
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Summary:Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in caseof approximation of a given functional equation in Banach spaces,fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approximationof the following quadratic functional equationf(2x + y) − f(x + 2y) = 3f(x) − 3f(y) (1)in intuitionistic fuzzy Banach spaces.
ISSN:1304-7981