Stability of Quadratic Functional Equations via the Fixed Point and Direct Method

Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via direct method concerning the stability of a gen...

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Main Authors:	Juri Lee, Eunyoung Son, Hark-Mahn Kim
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://dx.doi.org/10.1155/2010/635720

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spelling	doaj-eee445d507254c30b015bae28c5eef9c2020-11-24T22:06:24ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/635720Stability of Quadratic Functional Equations via the Fixed Point and Direct MethodJuri LeeEunyoung SonHark-Mahn KimCădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via direct method concerning the stability of a general quadratic functional equation. http://dx.doi.org/10.1155/2010/635720
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Juri Lee Eunyoung Son Hark-Mahn Kim
spellingShingle	Juri Lee Eunyoung Son Hark-Mahn Kim Stability of Quadratic Functional Equations via the Fixed Point and Direct Method Journal of Inequalities and Applications
author_facet	Juri Lee Eunyoung Son Hark-Mahn Kim
author_sort	Juri Lee
title	Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
title_short	Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
title_full	Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
title_fullStr	Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
title_full_unstemmed	Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
title_sort	stability of quadratic functional equations via the fixed point and direct method
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2010-01-01
description	Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via direct method concerning the stability of a general quadratic functional equation.
url	http://dx.doi.org/10.1155/2010/635720
work_keys_str_mv	AT jurilee stabilityofquadraticfunctionalequationsviathefixedpointanddirectmethod AT eunyoungson stabilityofquadraticfunctionalequationsviathefixedpointanddirectmethod AT harkmahnkim stabilityofquadraticfunctionalequationsviathefixedpointanddirectmethod
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Stability of Quadratic Functional Equations via the Fixed Point and Direct Method

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