Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for the square root spiral. The stability results have been obtained by a fixed...
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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/10.1155/2008/749392 |
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doaj-4516c4b3bda64d1aae0dda1db9af6cde2020-11-25T00:24:55ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-03-01200810.1155/2008/749392Fixed Point Methods for the Generalized Stability of Functional Equations in a Single VariableViorel RaduLiviu CădariuWe discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for the square root spiral. The stability results have been obtained by a fixed point method. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator.http://dx.doi.org/10.1155/2008/749392 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Viorel Radu Liviu Cădariu |
| spellingShingle |
Viorel Radu Liviu Cădariu Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable Fixed Point Theory and Applications |
| author_facet |
Viorel Radu Liviu Cădariu |
| author_sort |
Viorel Radu |
| title |
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable |
| title_short |
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable |
| title_full |
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable |
| title_fullStr |
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable |
| title_full_unstemmed |
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable |
| title_sort |
fixed point methods for the generalized stability of functional equations in a single variable |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2008-03-01 |
| description |
We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for the square root spiral. The stability results have been obtained by a fixed point method. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator. |
| url |
http://dx.doi.org/10.1155/2008/749392 |
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AT viorelradu fixedpointmethodsforthegeneralizedstabilityoffunctionalequationsinasinglevariable AT liviucx103dariu fixedpointmethodsforthegeneralizedstabilityoffunctionalequationsinasinglevariable |
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