43 citations · 149 across the 103 of their papers we have counts for
12 papers · 1 filter
Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation
Boris S. Mordukhovich, Pedro Pérez-Aros
This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We establish efficient condit…
Controlled polyhedral sweeping processes: existence, stability, and optimality conditions
René Henrion, Abderrahim Jourani, Boris S. Mordukhovich
This paper is mainly devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distan…
Globally Convergent Coderivative-Based Generalized Newton Methods in Nonsmooth Optimization
Pham Duy Khanh, Boris Mordukhovich, Vo Thanh Phat +1
This paper proposes and justifies two globally convergent Newton-type methods to solve unconstrained and constrained problems of nonsmooth optimization by using tools of variationa…
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
This paper addresses the study and applications of polyhedral duality of locally convex topological vector (LCTV) spaces. We first revisit the classical Rockafellar's proper separa…
Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling
Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich +3
The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish…
Crowd motion paradigm modeled by a bilevel sweeping control problem
Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich +2
This article concerns an optimal crowd motion control problem in which the crowd features a structure given by its organization into N groups (participants) each one spatially conf…