Variational Analysis: What is it about?


3:00 PM - 3:00 PM



  • 时间: 3:00 -4:00 pm (Beijing Time)
  • 日期: 2024年3月13日,星期三
  • 地点: MA204
  • 主讲人:Prof. Boris Mordukhovich (Wayne State University)


This talk presents a brief overview of basic principles and constructions of variational analysis and generalized differentiation with reviewing some underlying results and areas of applications. In particular, we axiomatically define subdifferentials of nonsmooth functions and normal to closed sets with their major realizations, present the extremal principle and its applications to generalized Lagrange multiplier rules, and formulate necessary optimality conditions for general problems of optimal control of ODE and PDE systems.


Boris Mordukhovich is an American mathematician recognized for his research in the areas of nonlinear analysis, optimization, and control theory. Mordukhovich is one of the founders of modern variational analysis and generalized differentiation. Currently he is Distinguished University Professor and Lifetime Scholar of the Academy of Scholars at Wayne State University (Vice President, 2009-2010 and President, 2010-2011).

Mordukhovich was born and educated in the Soviet Union; he emigrated to the United States with his family in December 1988. He developed constructions of generalized differentiation (bearing now his name), and their development and applications to classes of problems in variational analysis, optimization, equilibrium, control, economics, engineering, and other fields. His theory and various applications have been summarized in the 2-volume monograph, and in the recent book. Mordukhovich has published around 500 journal papers.

Mordukhovich is an AMS Fellow of the Inaugural Class, a SIAM Fellow, and a recipient of many international awards and honors. He is the Founding Editor (2008) and was a coEditor-in-Chief (2009-2014) of Set-Valued and Variational Analysis, an international journal. Since 2016, he is a co-Editor-in-Chief, Applied Analysis and Optimization, and since 2021 he is the area editor of Journal of Optimization Theory and Application. He was Chair (2012- 2015) of the International Working Group on Generalized Convexity and Monotonicity. In 2016, he was elected to the Accademia Peloritana dei Pericolanti (Italy), and in 2021 he became a Foreign Member of the National Academy of Sciences of Ukraine. He is in the list of Highly Cited Researchers in Mathematics.