Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-03-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/493751 |
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doaj-524104ebb2de45ea8048865931a3ec41 |
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Article |
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doaj-524104ebb2de45ea8048865931a3ec412020-11-25T02:19:06ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-03-01200810.1155/2008/493751Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point ApproachChoonkil ParkUsing the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces.http://dx.doi.org/10.1155/2008/493751 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Choonkil Park |
| spellingShingle |
Choonkil Park Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach Fixed Point Theory and Applications |
| author_facet |
Choonkil Park |
| author_sort |
Choonkil Park |
| title |
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach |
| title_short |
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach |
| title_full |
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach |
| title_fullStr |
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach |
| title_full_unstemmed |
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach |
| title_sort |
generalized hyers-ulam stability of quadratic functional equations: a fixed point approach |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2008-03-01 |
| description |
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces. |
| url |
http://dx.doi.org/10.1155/2008/493751 |
| work_keys_str_mv |
AT choonkilpark generalizedhyersulamstabilityofquadraticfunctionalequationsafixedpointapproach |
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1724878588160770048 |