Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques

Abdellatif Moudafi; Muhammad Aslam Noor

Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques

Abdellatif Moudafi ^{1, *} Muhammad Aslam Noor ²

* Corresponding author

1 D.M.I. - Département de Mathématiques et Informatique

2 Department of Mathematics and Statistics [Canada]

Abstract : In this paper, we extend the sensitivity analysis framework developed recently for variational inequalities by Noor and Yen to variational inclusions relying on Wiener-Hopf equation techniques. We prove the continuity and the Lipschitz continuity of the locally unique solution to parametric variational inclusions without assuming differentiability of the given data.

Keywords : Variational Inclusions Wiener-Hopf Equations Sensitivity Analysis Resolvent Operator

Document type :

Journal articles

Domain :

Mathematics [math] / Optimization and Control [math.OC]

Complete list of metadatas

https://hal.univ-antilles.fr/hal-00779240
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Submitted on : Monday, January 21, 2013 - 9:07:39 PM
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