43 citations · 149 across the 103 of their papers we have counts for
12 papers · 2 filters
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…
Applications of Controlled Sweeping Processes to Nonlinear Crowd Motion Models with Obstacles
Tan Cao, Boris Mordukhovich, Dao Nguyen +1
This paper mainly focuses on solving the dynamic optimization of the planar controlled crowd motion models with obstacles which is an application of a class of optimal control prob…
Optimality Conditions for Variational Problems in Incomplete Functional Spaces
Ashkan Mohammadi, Boris Mordukhovich
This paper develops a novel approach to necessary optimality conditions for constrained variational problems defined in generally incomplete subspaces of absolutely continuous func…
Optimal control of nonconvex integro-differential sweeping processes
Abderrahim Bouach, Tahar Haddad, Boris S. Mordukhovich
This paper is devoted to the study, for the first time in the literature, of optimal control problems for sweeping processes governed by integro-differential inclusions of the Volt…
Vector Optimization with Domination Structures: Variational Principles and Applications
Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran +1
This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures.…
Generalized Damped Newton Algorithms in Nonsmooth Optimization via Second-Order Subdifferentials
Pham Duy Khanh, Boris Mordukhovich, Vo Thanh Phat +1
The paper proposes and develops new globally convergent algorithms of the generalized damped Newton type for solving important classes of nonsmooth optimization problems. These alg…
Generalized Leibniz rules and Lipschitzian stability for expected-integral mappings
Boris S. Mordukhovich, Pedro Pérez-Aros
This paper is devoted to the study of the expected-integral multifunctions given in the form \begin{equation*} \operatorname{E}_Φ(x):=\int_TΦ_t(x)dμ, \end{equation*} where $Φ\colon…