43 citations · 149 across the 103 of their papers we have counts for
9 papers · 1 filter
Quasi-Relative Interiors for Graphs of Convex Set-Valued Mappings
Dang Van Cuong, Boris S. Mordukhovich, Nguyen Mau Nam
This paper aims at providing further studies of the notion of quasi-relative interior for convex sets introduced by Borwein and Lewis. We obtain new formulas for representing quasi…
Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen
The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses m…
Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming
Matúš Benko, Helmut Gfrerer, Boris S. Mordukhovich
This paper is devoted to the study of tilt stability of local minimizers, which plays an important role in both theoretical and numerical aspects of optimization. This notion has b…
Optimization of a perturbed sweeping process by constrained discontinuous controls
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen
This paper deals with optimal control problems described by a controlled version of Moreau's sweeping process governed by convex polyhedra, where measurable control actions enter a…
Criticality of Lagrange Multipliers in Variational Systems
Boris Mordukhovich, Ebrahim Sarabi
The paper concerns the study of criticality of Lagrange multipliers in variational systems that has been recognized in both theoretical and numerical aspects of optimization and va…
Existence of efficient and properly efficient solutions to problems of constrained vector optimization
Do Sang Kim, Boris S. Mordukhovich, Tien-Son Pham +1
The paper is devoted to the existence of global optimal solutions for a general class of nonsmooth problems of constrained vector optimization without boundedness assumptions on co…