Boris S. Mordukhovich

Orcid: 0000-0002-6071-6049

According to our database1, Boris S. Mordukhovich authored at least 122 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization.
Math. Program., May, 2024

2023
Variational Convexity of Functions and Variational Sufficiency in Optimization.
SIAM J. Optim., June, 2023

Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials.
J. Glob. Optim., May, 2023

A globally convergent proximal Newton-type method in nonsmooth convex optimization.
Math. Program., March, 2023

Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions.
J. Optim. Theory Appl., 2023

2022
Solving a continuous multifacility location problem by DC algorithms.
Optim. Methods Softw., 2022

Variational Analysis of Composite Models with Applications to Continuous Optimization.
Math. Oper. Res., 2022

Optimality Conditions for Variational Problems in Incomplete Functional Spaces.
J. Optim. Theory Appl., 2022

Preface for the Special Issue Optimization, Variational Analysis, and Applications in Honor of Professor Franco Giannessi.
J. Optim. Theory Appl., 2022

Augmented Lagrangian method for second-order cone programs under second-order sufficiency.
J. Glob. Optim., 2022

Applications of Controlled Sweeping Processes to Nonlinear Crowd Motion Models With Obstacles.
IEEE Control. Syst. Lett., 2022

Crowd Motion Paradigm Modeled by a Bilevel Sweeping Control Problem.
IEEE Control. Syst. Lett., 2022

Optimization of Controlled Free-Time Sweeping Processes With Applications to Marine Surface Vehicle Modeling.
IEEE Control. Syst. Lett., 2022

2021
Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization.
SIAM J. Optim., 2021

Generalized Leibniz Rules and Lipschitzian Stability for Expected-Integral Mappings.
SIAM J. Optim., 2021

Variational Analysis in Normed Spaces with Applications to Constrained Optimization.
SIAM J. Optim., 2021

Quasi-relative interiors for graphs of convex set-valued mappings.
Optim. Lett., 2021

Special Issue: Continuous Optimization and Stability Analysis.
Math. Program., 2021

New extremal principles with applications to stochastic and semi-infinite programming.
Math. Program., 2021

Existence of efficient and properly efficient solutions to problems of constrained vector optimization.
Math. Program., 2021

2020
Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls.
SIAM J. Control. Optim., 2020

A Variational Approach to Local Asymptotic and Exponential Stabilization of Nonlinear Systems.
Oper. Res. Forum, 2020

Second-order variational analysis in second-order cone programming.
Math. Program., 2020

Superlinear Convergence of the Sequential Quadratic Method in Constrained Optimization.
J. Optim. Theory Appl., 2020

Explicit Formula for Preimages of Relaxed One-Sided Lipschitz Mappings with Negative Lipschitz Constants: A Geometric Approach.
J. Optim. Theory Appl., 2020

2019
Criticality of Lagrange Multipliers in Variational Systems.
SIAM J. Optim., 2019

Second-Order Variational Analysis of Parametric Constraint and Variational Systems.
SIAM J. Optim., 2019

Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming.
SIAM J. Optim., 2019

Nonlinear Analysis and Optimization.
J. Optim. Theory Appl., 2019

Extended Euler-Lagrange and Hamiltonian Conditions in Optimal Control of Sweeping Processes with Controlled Moving Sets.
J. Optim. Theory Appl., 2019

Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models.
J. Optim. Theory Appl., 2019

2018
Critical multipliers in variational systems via second-order generalized differentiation.
Math. Program., 2018

Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates.
Math. Program., 2018

2017
Robinson Stability of Parametric Constraint Systems via Variational Analysis.
SIAM J. Optim., 2017

Extremality of convex sets with some applications.
Optim. Lett., 2017

Book Review "optimization and its applications in control and data sciences: in honor of Boris T. Polyak's 80th birthday".
Optim. Lett., 2017

Stability Analysis for Composite Optimization Problems and Parametric Variational Systems.
J. Optim. Theory Appl., 2017

Preface to the Special Issue "Optimization, Control and Applications" in Honor of Boris T. Polyak's 80th Birthday.
J. Optim. Theory Appl., 2017

Feedback design of differential equations of reconstruction for second-order distributed parameter systems.
Int. J. Appl. Math. Comput. Sci., 2017

2016
Local Monotonicity and Full Stability for Parametric Variational Systems.
SIAM J. Optim., 2016

Second-Order Analysis of Piecewise Linear Functions with Applications to Optimization and Stability.
J. Optim. Theory Appl., 2016

Optimal Control of Constrained Self-Adjoint Nonlinear Operator Equations in Hilbert Spaces.
J. Optim. Theory Appl., 2016

Preface.
J. Glob. Optim., 2016

2015
Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability.
SIAM J. Optim., 2015

Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions.
SIAM J. Optim., 2015

Second-order characterizations of tilt stability with applications to nonlinear programming.
Math. Program., 2015

New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors.
Math. Program., 2015

Full Stability in Finite-Dimensional Optimization.
Math. Oper. Res., 2015

Optimal Control of Semilinear Unbounded Evolution Inclusions with Functional Constraints.
J. Optim. Theory Appl., 2015

Variational Analysis in Psychological Modeling.
J. Optim. Theory Appl., 2015

Higher-order metric subregularity and its applications.
J. Glob. Optim., 2015

Introduction.
Int. J. Inf. Technol. Decis. Mak., 2015

2014
Full Stability of Locally Optimal Solutions in Second-Order Cone Programs.
SIAM J. Optim., 2014

Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control.
SIAM J. Optim., 2014

Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints.
Math. Program., 2014

Nonsmooth Cone-Constrained Optimization with Applications to Semi-Infinite Programming.
Math. Oper. Res., 2014

Necessary Nondomination Conditions in Set and Vector Optimization with Variable Ordering Structures.
J. Optim. Theory Appl., 2014

2013
An Easy Path to Convex Analysis and Applications
Synthesis Lectures on Mathematics & Statistics, Morgan & Claypool Publishers, ISBN: 978-3-031-02406-1, 2013

Characterizations of Full Stability in Constrained Optimization.
SIAM J. Optim., 2013

Subdifferentials of Nonconvex Supremum Functions and Their Applications to Semi-infinite and Infinite Programs with Lipschitzian Data.
SIAM J. Optim., 2013

The smallest enclosing ball problem and the smallest intersecting ball problem: existence and uniqueness of solutions.
Optim. Lett., 2013

Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs.
Math. Program., 2013

Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification.
Kybernetika, 2013

Variational Analysis, Optimization and Applications: Preface.
J. Optim. Theory Appl., 2013

Preface: special issue of JOGO-GCM10.
J. Glob. Optim., 2013

2012
Solving a Generalized Heron Problem by Means of Convex Analysis.
Am. Math. Mon., 2012

Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization.
SIAM J. Optim., 2012

Hölder Metric Subregularity with Applications to Proximal Point Method.
SIAM J. Optim., 2012

Sensitivity Analysis for Two-Level Value Functions with Applications to Bilevel Programming.
SIAM J. Optim., 2012

Hybrid proximal methods for equilibrium problems.
Optim. Lett., 2012

Tangential extremal principles for finite and infinite systems of sets II: applications to semi-infinite and multiobjective optimization.
Math. Program., 2012

Tangential extremal principles for finite and infinite systems of sets, I: basic theory.
Math. Program., 2012

Variational Analysis of Marginal Functions with Applications to Bilevel Programming.
J. Optim. Theory Appl., 2012

DC Optimization Approach to Metric Regularity of Convex Multifunctions with Applications to Infinite Systems.
J. Optim. Theory Appl., 2012

2011
Weak Sharp Minima on Riemannian Manifolds.
SIAM J. Optim., 2011

Applications of Variational Analysis to a Generalized Fermat-Torricelli Problem.
J. Optim. Theory Appl., 2011

Enhanced metric regularity and Lipschitzian properties of variational systems.
J. Glob. Optim., 2011

Quantitative Stability and Optimality Conditions in Convex Semi-Infinite and Infinite Programming
CoRR, 2011

Nonsmooth approximate maximum principle in optimal control.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010
Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games.
SIAM J. Optim., 2010

Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities.
SIAM J. Optim., 2010

Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions.
SIAM J. Optim., 2010

Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs.
Math. Program., 2010

Relative Pareto minimizers for multiobjective problems: existence and optimality conditions.
Math. Program., 2010

Limiting subgradients of minimal time functions in Banach spaces.
J. Glob. Optim., 2010

2009
Variational Analysis in Semi-Infinite and Infinite Programming, I: Stability of Linear Inequality Systems of Feasible Solutions.
SIAM J. Optim., 2009

Subgradients of marginal functions in parametric mathematical programming.
Math. Program., 2009

Foreword: special issue on nonsmooth optimization and applications.
Math. Program., 2009

Characterizations of linear suboptimality for mathematical programs with equilibrium constraints.
Math. Program., 2009

Multiobjective optimization problems with equilibrium constraints.
Math. Program., 2009

Necessary conditions for super minimizers in constrained multiobjective optimization.
J. Glob. Optim., 2009

2008
Necessary and sufficient conditions for linear suboptimality in constrained optimization.
J. Glob. Optim., 2008

Suboptimal minimax design of constrained parabolic systems with mixed boundary control.
Appl. Math. Comput., 2008

2007
Coderivative Analysis of Quasi-variational Inequalities with Applications to Stability and Optimization.
SIAM J. Optim., 2007

Variational Analysis of Evolution Inclusions.
SIAM J. Optim., 2007

Epi-convergent discretization of the generalized Bolza problem in dynamic optimization.
Optim. Lett., 2007

Variational Analysis in Nonsmooth Optimization and Discrete Optimal Control.
Math. Oper. Res., 2007

New Applications of Variational Analysis to Optimization and Control.
Proceedings of the System Modeling and Optimization, 2007

2005
Subgradient of distance functions with applications to Lipschitzian stability.
Math. Program., 2005

Variational Stability and Marginal Functions via Generalized Differentiation.
Math. Oper. Res., 2005

On Stability of the Pontryagin Maximum Principle with respect to Time Discretization.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
Optimal Control of Neutral Functional-Differential Inclusions.
SIAM J. Control. Optim., 2004

The Approximate Maximum Principle in Constrained Optimal Control.
SIAM J. Control. Optim., 2004

Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints.
SIAM J. Control. Optim., 2004

Equilibrium problems with equilibrium constraints via multiobjective optimization.
Optim. Methods Softw., 2004

Coderivatives in parametric optimization.
Math. Program., 2004

Coderivative Analysis of Variational Systems.
J. Glob. Optim., 2004

Restrictive metric regularity and generalized differential calculus in Banach spaces.
Int. J. Math. Math. Sci., 2004

Optimal control of differential-algebraic systems.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Discrete approximations and necessary optimality conditions for functional-differential inclusions of neutral type.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Optimal control of differential inclusions in infinite-dimensional spaces.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Optimal control and minimax synthesis of constrained parabolic systems under uncertain perturbations.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003
An Extended Extremal Principle with Applications to Multiobjective Optimization.
SIAM J. Optim., 2003

2002
Necessary Suboptimality and Optimality Conditions via Variational Principles.
SIAM J. Control. Optim., 2002

Normal compactness conditions in variational analysis.
Proceedings of the 41st IEEE Conference on Decision and Control, 2002

Necessary optimality and suboptimality conditions for nonsmooth problems.
Proceedings of the 41st IEEE Conference on Decision and Control, 2002

Optimal control of hereditary differential inclusions.
Proceedings of the 41st IEEE Conference on Decision and Control, 2002

The approximate maximum principle for constrained control systems.
Proceedings of the 41st IEEE Conference on Decision and Control, 2002

2001
On Second-Order Subdifferentials and Their Applications.
SIAM J. Optim., 2001

Pareto Optimality in Nonconvex Economies with Infinite-dimensional Commodity Spaces.
J. Glob. Optim., 2001

Stability of Discrete Approximations and Necessary Optimality Conditions for Delay-Differential Inclusions.
Ann. Oper. Res., 2001

1998
Minimax Design of Constrained Parabolic Systems.
Proceedings of the Control of Distributed Parameter and Stochastic Systems, 1998


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