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2012 Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces
M. Eshaghi Gordji, H. Azadi Kenary, H. Rezaei, Y. W. Lee, G. H. Kim
Abstr. Appl. Anal. 2012: 1-22 (2012). DOI: 10.1155/2012/953938

Abstract

By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equation f ( x + k y ) + f ( x k y ) = f ( x + y ) + f ( x y ) + ( 2 ( k + 1 ) / k ) f ( k y ) 2 ( k + 1 ) f ( y ) for fixed integers k with k 0 , ± 1 in fuzzy Banach spaces.

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M. Eshaghi Gordji. H. Azadi Kenary. H. Rezaei. Y. W. Lee. G. H. Kim. "Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces." Abstr. Appl. Anal. 2012 1 - 22, 2012. https://doi.org/10.1155/2012/953938

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1242.39032
MathSciNet: MR2910730
Digital Object Identifier: 10.1155/2012/953938

Rights: Copyright © 2012 Hindawi

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