Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
<p/> <p>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 th...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2010-01-01
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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>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.</p> |
first_indexed | 2024-12-22T11:21:04Z |
format | Article |
id | doaj.art-bbe991afd9424c7b965230a697741d08 |
institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-12-22T11:21:04Z |
publishDate | 2010-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
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>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.</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 |