Semicontinuity of Solution Sets to Parametric Quasivariational Inclusions with Applications to Traffic Networks II: Lower Semicontinuities Applications

Semicontinuity of Solution Sets to Parametric Quasivariational Inclusions with Applications to... We propose some notions related to semicontinuity of a multivalued mapping and provide a clear insight for various semicontinuity-related definitions. We establish verifiable sufficient conditions for solution sets of general quasivariational inclusion problems to have these semicontinuity-related properties. Our results are proved to include and improve recent ones in the literature by corollaries and examples. Part I is devoted to upper semicontinuity properties of solution sets. Part II discusses lower semicontinuities of these sets and applications, where we discuss in details a traffic network problem as a sample for employing the main results in practical situations http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Set-Valued and Variational Analysis Springer Journals

Semicontinuity of Solution Sets to Parametric Quasivariational Inclusions with Applications to Traffic Networks II: Lower Semicontinuities Applications

Set-Valued and Variational Analysis, Volume 16 (8) – Mar 19, 2008

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media B.V.
Subject
Mathematics; Geometry ; Analysis
ISSN
1877-0533
eISSN
1572-932X
D.O.I.
10.1007/s11228-008-0082-z
Publisher site
See Article on Publisher Site

Abstract

We propose some notions related to semicontinuity of a multivalued mapping and provide a clear insight for various semicontinuity-related definitions. We establish verifiable sufficient conditions for solution sets of general quasivariational inclusion problems to have these semicontinuity-related properties. Our results are proved to include and improve recent ones in the literature by corollaries and examples. Part I is devoted to upper semicontinuity properties of solution sets. Part II discusses lower semicontinuities of these sets and applications, where we discuss in details a traffic network problem as a sample for employing the main results in practical situations

Journal

Set-Valued and Variational AnalysisSpringer Journals

Published: Mar 19, 2008

References

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