Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 3, Pages 223-232
Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques
1Université des Antilles et de la Guyane, Mathématiques, Pointe-à-Pitre 97159, Guadeloupe
2Dalhousie University, Mathematics and Statistics, Nova Scotia, Halifax B3H 3J5, Canada
Received 1 July 1997; Revised 1 May 1998
Copyright © 1999 Abdellatif Moudafi and Muhammad Aslam Noor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.