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Boris S. Mordukhovich

Boris S. Mordukhovich

D-Index & Metrics

Mathematics

D-Index
64
Citations
18033
World Ranking
413
National Ranking
219

Engineering and Technology

D-Index
63
Citations
17483
World Ranking
1730
National Ranking
557

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - SIAM Fellow For contributions to variational analysis, optimization, and optimal control.

Overview

Boris S. Mordukhovich is affiliated with Wayne State University in the United States. Their work spans several key fields in mathematics, computer science, and engineering, focusing extensively on optimization and variational analysis.

The main fields of study include:

  • Mathematics
  • Computer Science
  • Engineering

Within these fields, their research delves into subfields such as:

  • Computational Theory and Mathematics
  • Numerical Analysis
  • Control and Systems Engineering
  • Computational Mechanics
  • Civil and Structural Engineering

The primary topics of their work are:

  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Topology Optimization in Engineering
  • Sparse and Compressive Sensing Techniques
  • Contact Mechanics and Variational Inequalities
  • Fixed Point Theorems Analysis
  • Stability and Controllability of Differential Equations

Frequent collaborators in their research include:

  • Pham Duy Khanh
  • Nguyen Mau Nam
  • Vo Thanh Phat
  • Dao Nguyen
  • Dat Ba Tran

Publication venues where they have contributed multiple works are:

  • arXiv (Cornell University)
  • Journal of Optimization Theory and Applications
  • Optimization
  • Mathematical Programming
  • SIAM Journal on Optimization

Selected recent papers include:

  • Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls (2020), SIAM Journal on Control and Optimization
  • A globally convergent proximal Newton-type method in nonsmooth convex optimization (2022), Mathematical Programming
  • A Generalized Newton Method for Subgradient Systems (2022), Mathematics of Operations Research
  • Optimal control of nonconvex integro-differential sweeping processes (2022), Journal of Differential Equations
  • Parabolic regularity in geometric variational analysis (2020), Transactions of the American Mathematical Society

Mordukhovich has authored several books published by recognized academic publishers, including:

  • Convex Analysis and Beyond (2022) published by Springer International Publishing
  • Second-Order Variational Analysis in Optimization, Variational Stability, and Control (2024) published by Springer International Publishing
  • An Easy Path to Convex Analysis and Applications (2023) published by Synthesis lectures on mathematics and statistics

They have been recognized by professional societies with distinctions such as:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2011) for contributions to variational analysis, optimization, and optimal control

Best Publications

  • Variational analysis and generalized differentiation I : basic theory

    Boris S Mordukhovich

  • Variational Analysis and Generalized Differentiation II

    Boris S. Mordukhovich

  • Variational Analysis and Generalized Differentiation II: Applications

    Boris S Mordukhovich

  • Variational Analysis and Applications

    Boris S. Mordukhovich

  • Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions

    Boris Mordukhovich

  • Nonsmooth sequential analysis in Asplund spaces

    Boris S. Mordukhovich;Yongheng Shao

  • Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings

    B.S. Mordukhovich

  • Relative Pareto minimizers for multiobjective problems: existence and optimality conditions

    Truong Q. Bao;Boris S. Mordukhovich

  • Discrete Approximations and Refined Euler--Lagrange Conditions forNonconvex Differential Inclusions

    Boris S. Mordukhovich

  • New necessary optimality conditions in optimistic bilevel programming

    S. Dempe;J. Dutta;B. S. Mordukhovich

  • Subgradients of marginal functions in parametric mathematical programming

    B. S. Mordukhovich;N. M. Nam;N. D. Yen

  • Sensitivity analysis in nonsmooth optimization

    Boris Mordukhovich

  • An Easy Path to Convex Analysis and Applications

    Boris S. Mordukhovich;Nguyen Mau Nam

  • Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis

    Boris Mordukhovich

  • Coderivative Analysis of Quasi-variational Inequalities with Applications to Stability and Optimization

    Boris S. Mordukhovich;Jir caron;i´ V. Outrata

  • Second-Order Subdifferential Calculus With Applications to Tilt Stability in Optimization

    Boris S Mordukhovich;R T Rockafellar

  • Optimal control of the sweeping process

    G. Colombo;R. Henrion;N. D. Hoang;B. S. Mordukhovich

  • Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming

    Boris S Mordukhovich;Nguyen Mau Nam;N. D. Yen

  • Necessary optimality conditions in pessimistic bilevel programming

    Stephan Dempe;Boris S. Mordukhovich;Alain B. Zemkoho

  • Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs

    N. Dinh;B. Mordukhovich;T. T. A. Nghia

  • Optimal control of the sweeping process over polyhedral controlled sets

    G. Colombo;R. Henrion;D. Hoang Nguyen;B.S. Mordukhovich

  • Journal of Convex Analysis

    G Buttazzo;L Thibault;R J B Wets;H Attouch

Frequent Co-Authors

Stephan Dempe
Stephan Dempe TU Bergakademie Freiberg
Jen-Chih Yao
Jen-Chih Yao China Medical University
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
R. T. Rockafellar
R. T. Rockafellar University of Washington
Guoyin Li
Guoyin Li University of New South Wales
Christian Kanzow
Christian Kanzow University of Würzburg
Joydeep Dutta
Joydeep Dutta Royal Institute of Technology
Dominikus Noll
Dominikus Noll Paul Sabatier University
Roger J.-B. Wets
Roger J.-B. Wets University of California, Davis
George Yin
George Yin University of Connecticut

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