Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable

Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable

<p>Abstract</p> <p>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...

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Main Authors: Radu Viorel, C&#259;dariu Liviu
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2008/
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spelling doaj-5f3f604ebc9b4c03bf5334a3b744106d2020-11-24T21:53:05ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-0120081749392Fixed Point Methods for the Generalized Stability of Functional Equations in a Single VariableRadu ViorelC&#259;dariu Liviu<p>Abstract</p> <p>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 <it>the stability is related to some fixed point</it> of a suitable operator.</p>http://www.fixedpointtheoryandapplications.com/content/2008/
collection DOAJ
language English
format Article
sources DOAJ
author Radu Viorel
C&#259;dariu Liviu
spellingShingle Radu Viorel
C&#259;dariu Liviu
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
Fixed Point Theory and Applications
author_facet Radu Viorel
C&#259;dariu Liviu
author_sort Radu Viorel
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 2008-01-01
description <p>Abstract</p> <p>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 <it>the stability is related to some fixed point</it> of a suitable operator.</p>
url http://www.fixedpointtheoryandapplications.com/content/2008/
work_keys_str_mv AT raduviorel fixedpointmethodsforthegeneralizedstabilityoffunctionalequationsinasinglevariable
AT c259dariuliviu fixedpointmethodsforthegeneralizedstabilityoffunctionalequationsinasinglevariable
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