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

<p/> <p>C&#259;dariu 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 th...

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Main Authors: Son Eunyoung, Lee Juri, Kim Hark-Mahn
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/635720
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author Son Eunyoung
Lee Juri
Kim Hark-Mahn
author_facet Son Eunyoung
Lee Juri
Kim Hark-Mahn
author_sort Son Eunyoung
collection DOAJ
description <p/> <p>C&#259;dariu 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.</p>
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1029-242X
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spelling doaj.art-bbe991afd9424c7b965230a697741d082022-12-21T18:27:53ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101635720Stability of Quadratic Functional Equations via the Fixed Point and Direct MethodSon EunyoungLee JuriKim Hark-Mahn<p/> <p>C&#259;dariu 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.</p>http://www.journalofinequalitiesandapplications.com/content/2010/635720
spellingShingle Son Eunyoung
Lee Juri
Kim Hark-Mahn
Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
Journal of Inequalities and Applications
title 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_short 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
url http://www.journalofinequalitiesandapplications.com/content/2010/635720
work_keys_str_mv AT soneunyoung stabilityofquadraticfunctionalequationsviathefixedpointanddirectmethod
AT leejuri stabilityofquadraticfunctionalequationsviathefixedpointanddirectmethod
AT kimharkmahn stabilityofquadraticfunctionalequationsviathefixedpointanddirectmethod