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
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Journal articles
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Abdellatif Moudafi, Muhammad Aslam Noor. Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques. Journal of Applied Mathematics and Stochastic Analysis, North Atlantic Science Publishing Company, 1999, 12 (3), pp.223-232. ⟨hal-00779240⟩

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