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Constructive Nonsmooth Analysis and Related Topics

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  • © 2014

Overview

Editors:
  1. Vladimir F. Demyanov

    1. Saint Petersburg State University, Saint Petersburg, Russia

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  2. Panos M. Pardalos

    1. Department of Industrial & Systems Engin, University of Florida, Gainesville, USA

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  3. Mikhail Batsyn

    1. Higher School of Economics, National Research University, Nizhny Novgorod, Russia

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  • Focuses on Nonsmooth Analysis, a modern and powerful instrument in applied mathematics
  • Presents minimax theory an important area in optimization theory covering a number of nonsmooth problems, is presented
  • Includes applications in engineering and solutions to nonsmooth real-world problems, optimization problems for dynamical systems
  • Presents methods for dealing with difficult optimization problems in global optimization

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 87)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Use Model Theory in Nonsmooth Analysis

    • S. S. Kutateladze
    Pages 1-11

  3. Demyanov Difference in Infinite-Dimensional Spaces

    • Jerzy Grzybowski, Diethard Pallaschke, Ryszard UrbaÅ„ski
    Pages 13-24

  4. Separable Reduction of Metric Regularity Properties

    • A. D. Ioffe
    Pages 25-37

  5. Construction of Pairs of Reproducing Kernel Banach Spaces

    • Pando G. Georgiev, Luis Sánchez-González, Panos M. Pardalos
    Pages 39-57

  6. On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities

    • N. Ovcharova, J. Gwinner
    Pages 59-70

  7. Dynamics and Optimization of Multibody Systems in the Presence of Dry Friction

    • F. L. Chernousko
    Pages 71-100

  8. Method of Steepest Descent for Two-Dimensional Problems of Calculus of Variations

    • M. V. Dolgopolik, G. Sh. Tamasyan
    Pages 101-113

  9. On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization

    • A. Uderzo
    Pages 115-136

  10. Some Remarks on Bi-level Vector Extremum Problems

    • Carla Antoni, Franco Giannessi
    Pages 137-157

  11. Well-Posedness for Lexicographic Vector Equilibrium Problems

    • L. Q. Anh, T. Q. Duy, A. Y. Kruger, N. H. Thao
    Pages 159-174

  12. The Best Linear Separation of Two Sets

    • V. N. Malozemov, E. K. Cherneutsanu
    Pages 175-183

  13. Alternance Form of Optimality Conditions in the Finite-Dimensional Space

    • V. F. Demyanov, V. N. Malozemov
    Pages 185-203

  14. Optimal Multiple Decision Statistical Procedure for Inverse Covariance Matrix

    • Alexander P. Koldanov, Petr A. Koldanov
    Pages 205-216

  15. Conciliating Generalized Derivatives

    • Jean-Paul Penot
    Pages 217-230

  16. The Nonsmooth Path of Alex M. Rubinov

    • S. S. Kutateladze
    Pages 231-233

  17. Two Giants from St. Petersburg

    • S. S. Kutateladze
    Pages 235-244

  18. Convex Analysis and Optimization in the Past 50 Years: Some Snapshots

    • Jean-Baptiste Hiriart-Urruty
    Pages 245-253
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Keywords

About this book

This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable.

The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.

Editors and Affiliations

  • Saint Petersburg State University, Saint Petersburg, Russia

    Vladimir F. Demyanov

  • Department of Industrial & Systems Engin, University of Florida, Gainesville, USA

    Panos M. Pardalos

  • Higher School of Economics, National Research University, Nizhny Novgorod, Russia

    Mikhail Batsyn

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