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Nonsmooth Optimization and Related Topics

  • Book
  • © 1989

Overview

Editors:
  1. F. H. Clarke

    1. Centre de Recherches Mathématiques, Université de Montréal, Montréal, Canada

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  2. V. F. Dem’yanov

    1. Department of Applied Mathematics, Leningrad State University, Leningrad, USSR

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  3. F. Giannessi

    1. Dipartimento di Mathematica, Universitá di Pisa, Pisa, Italy

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Part of the book series: Ettore Majorana International Science Series (EMISS, volume 43)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Scalar and Vector Generalized Convexity

    • E. Castagnoli, P. Mazzoleni
    Pages 1-22

  3. Compactness and Boundedness for a Class of Concave-Convex Functions

    • E. Cavazzuti, N. Pacchiarotti
    Pages 23-38

  4. Applications of Proximal Subgradients

    • F. H. Clarke
    Pages 39-47

  5. New Functionals in Calculus of Variations

    • E. De Giorgi, L. Ambrosio
    Pages 49-59

  6. Quasi-Variational Inequalities and Applications to Equilibrium Problems with Elastic Demand

    • M. De Luca, A. Maugeri
    Pages 61-77

  7. Smoothness of Nonsmooth Functions

    • V. F. Dem’yanov
    Pages 79-88

  8. Exact Penalty Functions for Nondifferentiable Programming Problems

    • G. Di Pillo, F. Facchinei
    Pages 89-107

  9. Fuzzy Γ-Operators and Convolutive Approximations

    • S. Dolecki
    Pages 109-131

  10. On Cone Approximations and Generalized Directional Derivatives

    • K.-H. Elster, J. Thierfelder
    Pages 133-154

  11. Some Techniques for Finding the Search Direction in Nonsmooth Minimization Problems

    • M. Gaudioso, M. F. Monaco
    Pages 155-166

  12. Directional Derivative for the Value Function in Mathematical Programming

    • J. Gauvin
    Pages 167-183

  13. Necessary Optimality Conditions via Image Problem

    • F. Giannessi, M. Pappalardo, L. Pellegrini
    Pages 185-217

  14. From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality

    • J.-B. Hiriart-Urruty
    Pages 219-239

  15. Nonconvex Subdifferentials

    • A. Ioffe
    Pages 241-253

  16. Perturbed Differential Inclusion Problems

    • P. D. Loewen
    Pages 255-263

  17. Subdifferential Analysis and Plates Subjected to Unilateral Constraints

    • A. Marino, C. Saccon
    Pages 265-276

  18. Optimization Problems for Aircraft Flight in a Windshear

    • A. Miele, T. Wang
    Pages 277-305

  19. Constrained Well-Posed Two-Level Optimization Problems

    • J. Morgan
    Pages 307-325

  20. A Compactness Theorem for Curves of Maximal Slope for a Class of Nonsmooth and Nonconvex Functions

    • R. Orlandoni, O. Petrucci, M. Tosques
    Pages 327-341
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Keywords

Editors and Affiliations

  • Centre de Recherches Mathématiques, Université de Montréal, Montréal, Canada

    F. H. Clarke

  • Department of Applied Mathematics, Leningrad State University, Leningrad, USSR

    V. F. Dem’yanov

  • Dipartimento di Mathematica, Universitá di Pisa, Pisa, Italy

    F. Giannessi

Bibliographic Information

  • Book Title: Nonsmooth Optimization and Related Topics

  • Editors: F. H. Clarke, V. F. Dem’yanov, F. Giannessi

  • Series Title: Ettore Majorana International Science Series

  • DOI: https://doi.org/10.1007/978-1-4757-6019-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Hardcover ISBN: 978-0-306-43247-7Due: 31 August 1989

  • Softcover ISBN: 978-1-4757-6021-7Published: 10 September 2013

  • eBook ISBN: 978-1-4757-6019-4Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XI, 489

  • Topics: Theoretical, Mathematical and Computational Physics

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