Boris Mordukhovich

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Boris S. Mordukhovich ( Russian Борис Шолимович Мордухович , transcription Boris Scholimowitsch Mordukhovich ; * 1948 in Moscow ) is a Russian-American mathematician.

Boris Mordukhovich received his PhD in 1973 from the Belarusian State University under Rafail Gabasov (Existence of Optimal Controls and Necessary Optimality Conditions in Dynamical Systems). He completed his habilitation at the Institute of Cybernetics of the Ukrainian Academy of Sciences in Kiev , was at the Research Institute for Water Resources in Minsk from 1973 to 1988 and taught at the State University of Belarus in Minsk. Mordukhovich emigrated to the USA in late 1988, where he has been a professor at Wayne State University since 1989, where he became a Distinguished University Professor.

He also taught and researched in Vietnam, at the University of Messina, Alicante, Beijing, Harbin, Saudi Arabia (King Fahd University in Dhahran), in Taiwan, at the Weierstrass Institute in Berlin, in Chile, Vienna, Toulouse, Kyoto, Sydney and at the International Institute for Applied Systems Analysis in Laxenburg.

He deals with nonlinear and convex optimization and control theory and is one of the founders of variational analysis with generalized derivatives and set-valued functions.

He is a SIAM Fellow, Fellow of the American Mathematical Society and multiple honorary doctorates (National Sun Yat-sen University in Taiwan, University of Messina, University of Alicante). Mordukhovich was the founding editor of Set-valued and variational analysis .

Mordukhovich is a US citizen.

Fonts

  • Maximum principle in the problem of time optimal response with nonsmooth constraints, J. Appl. Math. And Mech., Vol. 40, 1976, pp. 960-969
  • Approximation and the maximum principle in nonsmooth optimal control problems, Russ. Math. Surveys 1977
  • Metric approximations and necessary optimality conditions for general classes of nonsmooth extremum problems, Russ. Math. Surveys 1980
  • Penalty functions and necessary conditions for an extremum in non-smooth and non-convex optimization problems, Russ. Math. Surveys 1981
  • Approximation methods in problems of optimization and control, Moscow: Nauka 1988
  • Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions, Transactions of the AMS, Volume 340, 1993, pp. 1-35
  • Generalized differential calculus for nonsmooth and set-valued mappings, J. of Math. Analysis and Applic., Volume 183, 1994, pp. 250-288
  • with Y. Shao: Nonsmooth sequential analysis in Asplund spaces, Transactions of the AMS, Volume 348, 1996, pp. 1235-1280
  • Editor with Hector J. Sussmann: Nonsmooth analysis and geometric methods in deterministic optimal control, Springer 1996
  • Variational analysis and generalized differentiation, Vol. 1, 2, Grundlehren der Mathematischen Wissenschaften 330/331, Springer 2006
  • with Nguyen Mau Nam: An Easy Path to Convex Analysis and Applications, Morgan & Claypool Publishers 2013

Web links

Individual evidence

  1. ↑ Boris Mordukhovich in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Mordukhovich, Boris
ALTERNATIVE NAMES Morduchowitsch, Boris Scholimowitsch; Мордухович, Борис Шолимович
BRIEF DESCRIPTION Russian-American mathematician
DATE OF BIRTH 1948
PLACE OF BIRTH Moscow