A fixed point approach to stability of functional equations

We prove a simple fixed point theorem for some (not necessarily linear) operators and derive from it several quite general results on the stability of a very wide class of functional equations in single variable.

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Bibliographic Details
Published in:Nonlinear analysis Vol. 74; no. 17; pp. 6728 - 6732
Main Authors: Brzdȩk, Janusz, Chudziak, Jacek, Páles, Zsolt
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 01.12.2011
Elsevier
Subjects:
Difference and functional equations, recurrence relations
Exact sciences and technology
Finite differences and functional equations
Fixed point
Fixed points (mathematics)
Functional equation in single variable
Global analysis, analysis on manifolds
Hyers–Ulam stability
Mathematical analysis
Mathematics
Nonlinear algebraic and transcendental equations
Nonlinear operator
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Operators
Sciences and techniques of general use
Stability
Theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Functional equation in single variable
Nonlinear operator
Hyers–Ulam stability
Fixed point
Fix point
Nonlinear analysis
Functional equation
Mathematical model
Hyers-Ulam stability
Numerical stability
Non linear operator
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Description
Summary:We prove a simple fixed point theorem for some (not necessarily linear) operators and derive from it several quite general results on the stability of a very wide class of functional equations in single variable.
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SourceType-Scholarly Journals-1
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content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.06.052