scholarly journals Sensitivity Analysis of Variational Inequalities via Twice Epi-differentiability and Proto-differentiability of the Proximity Operator

2018 ◽  
Vol 28 (2) ◽  
pp. 1699-1725 ◽  
Author(s):  
Samir Adly ◽  
Loïc Bourdin
Keyword(s):  
Sensitivity Analysis ◽  
Variational Inequalities ◽  
Proximity Operator

scholarly journals Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques

1999 ◽  
Vol 12 (3) ◽  
pp. 223-232 ◽  
Author(s):  
Abdellatif Moudafi ◽  
Muhammad Aslam Noor
Keyword(s):  
Sensitivity Analysis ◽  
Variational Inequalities ◽  
Unique Solution ◽  
Lipschitz Continuity ◽  
Variational Inclusions ◽  
Analysis Framework ◽  
Hopf Equation ◽  
The Given

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.

Sign in / Sign up

Export Citation Format

Share Document