Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques. (1999)

• Record Type: Journal Article
• Authors: Moudafi, Abdellatif; Noor, Muhammad Aslam
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 12:Number 3(1999)
• Page Start: 223
• Page End: 232
• Publication Date: 1999
• Subjects: variational inclusions -- Wiener-Hopf equations -- sensitivity analysis -- resolvent operator; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953399000210
• Languages: English
• ISSNs: 1048-9533

Abstract

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.