Continuous Dependence of Coincidence Points on a Parameter

Continuous Dependence of Coincidence Points on a Parameter

The coincidence points existence problem with a parameter is considered. Sufficient conditions for dependence of a coincidence point on a parameter to be continuous, Hölder continuous or Lipschitz continuous are obtained.

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Bibliographic Details
Published in:Set-valued and variational analysis Vol. 23; no. 1; pp. 23 - 41
Main Authors: Arutyunov, Aram, Zhukovskiy, Sergey
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01-03-2015
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Optimization
Coincidence points
Covering mappings
Implicit function theorem
34A34
54H25
Online Access:Get full text
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Description
Summary:The coincidence points existence problem with a parameter is considered. Sufficient conditions for dependence of a coincidence point on a parameter to be continuous, Hölder continuous or Lipschitz continuous are obtained.
ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-014-0303-6