Journal of Applied Mathematics and Stochastic Analysis 
Volume 12 (1999), Issue 3, Pages 223-232
doi:10.1155/S1048953399000210

Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques

Abdellatif Moudafi1 and Muhammad Aslam Noor2

 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

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.