Table of contents

  1. Front Matter
    PDF
  2. Nonsmoothness and quasidifferentiability
    V. F. Demyanov, L. N. Polyakova, A. M. Rubinov
    Pages 1-19
  3. Quasidifferentiable functions: Necessary conditions and descent directions
    V. F. Demyanov
    Pages 20-43
  4. On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints
    L. N. Polyakova
    Pages 44-55
  5. Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization
    Alexander Shapiro
    Pages 56-68
  6. On minimizing the sum of a convex function and a concave function
    L. N. Polyakova
    Pages 69-73
  7. An algorithm for minimizing a certain class of quasidifferentiable functions
    V. F. Demyanov, S. Gamidov, T. I. Sivelina
    Pages 74-84
  8. A linearization method for minimizing certain quasidifferentiable functions
    Krzysztof C. Kiwiel
    Pages 85-94
  9. A directional implicit function theorem for quasidifferentiable functions
    V. A. Demidova, V. F. Demyanov
    Pages 95-107
  10. Directional differentiability of a continual maximum function of quasidifferentiable functions
    V. F. Demyanov, I. S. Zabrodin
    Pages 108-117
  11. On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions
    D. Melzer
    Pages 118-134
  12. Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory
    S. L. Pechersky
    Pages 135-144
  13. Quasidifferentiable mappings and the differentiability of maximum functions
    N. A. Pecherskaya
    Pages 145-159
  14. Quasidifferentiable functions in Optimal Control
    V. F. Demyanov, V. N. Nikulina, I. R. Shablinskaya
    Pages 160-175
  15. The space of star-shaped sets and its applications in nonsmooth optimization
    A. M. Rubinov, A. A. Yagubov
    Pages 176-202
  16. ε-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems
    V. V. Gorokhovik
    Pages 203-218
  17. Back Matter
    PDF

About this book

Keywords

differential calculus

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0121132
  • Copyright Information Springer Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-00928-0
  • Online ISBN 978-3-642-00929-7
  • Series Print ISSN 0303-3929
  • Series Online ISSN 1436-4646
  • Buy this book on publisher's site