Skip to main content

Stability analysis in optimization

Part of the Lecture Notes in Mathematics book series (LNM,volume 1190)

Keywords

  • Stability Analysis
  • Performance Stability
  • Relate Field
  • Global Optimal Solution
  • Limit Problem

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H.Attouch, R.Wets. ‘Approximation and convergence in nonlinear optimization'. Nonlinear programming 4, edited by O.Mangasarian — R. Meyer — S.Robinson, Academic Press, (1981), 367–394.

    Google Scholar 

  2. H. Attouch, R. Wets. ‘A convergence for bivariate functions aimed at the convergence of saddle values'. Lecture Notes in Mathematics, 979, (1983), 1–42.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. H. Attouch, R. Wets. ‘A convergence theory for saddle functions'. Trans. Amer. Math. Soc., 280 (1983), 1–41.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J.P.Aubin. ‘Mathematical methods of game and economic theory'. North Holland, (1979).

    Google Scholar 

  5. A.Bank, J.Guddat, D.Klatte, B.Kummer, K.Tammer. ‘Non-linear parametric optimization'. Birkhäuser, (1983).

    Google Scholar 

  6. G. Buttazzo, G. Dal Maso. ‘Γ-convergence and optimal control problems'. J.Optim. Theory Appl., 38 (1982), 385–407.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. F.Clarke. ‘Optimization and nonsmooth analysis'. Wiley — Inter — science, (1983).

    Google Scholar 

  8. E. De Giorgi, T. Franzoni. ‘Su un tipo di convergenza variazionale'. Atti Accad. Naz. Lincei, 58 (1975), 842–850.

    MathSciNet  MATH  Google Scholar 

  9. S.Dolecki. ‘Convergence of global minima and infima'. Seminaire d'Analyse Numerique, Toulouse, (1982,1983).

    Google Scholar 

  10. A.Dontchev. ‘Perturbations, approximations and sensitivity analysis in optimal control systems'. Lecture notes in Control and Informations Sciences, 52, Springer, (1983).

    Google Scholar 

  11. A. Dontchev, B. Morduhovic. ‘Relaxation and well-posedness of nonlinear optimal processes'. Systems and Control Letters 3 (1983), 177–179.

    CrossRef  MATH  Google Scholar 

  12. A.Fiacco. ‘Introduction to sensitivity and stability analysis in nonlinear programming'. Academic Press, (1983).

    Google Scholar 

  13. R.Lucchetti. ‘On the continuity of the optimal value and of the optimal set in minimum problems'. Pubblicazioni I.M.A. 133, Genova, (1983).

    Google Scholar 

  14. R.Lucchetti. ‘On the continuity of the minima for a family of constrained optimization problems'. To appear in Numer.Funct.Anal.Optim.

    Google Scholar 

  15. R. Lucchetti, F. Patrone. ‘Hadamard and Tyhonov well-posedness of a certain class of convex functions'. J.Math. Anal. Appl. 88 (1982), 204–215.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. R. Lucchetti, F. Patrone. ‘Some properties of "well-posed" variational inequalities governed by linear operators'. Numer. Funct. Anal. Optim. 5 (1982,1983), 349–361.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. R.Lucchetti, F.Patrone. ‘Closure and upper semicontinuity results in mathematical programing, Nash and economic equilibria'. Submitted.

    Google Scholar 

  18. S. Robinson. ‘Generalized equations and their solutions, part 2:applications to nonlinear programming'. Math. Programming Study 19, (1982), 200–221.

    CrossRef  MATH  Google Scholar 

  19. T. Zolezzi. ‘On convergence of minima'. Boll. Un. Matem. Ital., 8 (1973), 246–257.

    MathSciNet  MATH  Google Scholar 

  20. T. Zolezzi. ‘Some convergence results in optimal control and mathematical programming'. Proccedings workshop in Differential Equations and their Control, Iasi, (1982), edited by V. Barbu-N. Pavel. University of Iasi and I.N.C.R.E.S.T., Iasi (1983).

    Google Scholar 

  21. T. Zolezzi. ‘On stability analysis in mathematical programming'.Math. Programming Study, 21 (1984), 227–242.

    CrossRef  MathSciNet  Google Scholar 

  22. T.Zolezzi. ‘Continuity of generalized gradients and multipliers under perturbations'. To appear in Math. Oper. Research.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Zolezzi, T. (1986). Stability analysis in optimization. In: Conti, R., De Giorgi, E., Giannessi, F. (eds) Optimization and Related Fields. Lecture Notes in Mathematics, vol 1190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076716

Download citation

  • DOI: https://doi.org/10.1007/BFb0076716

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16476-0

  • Online ISBN: 978-3-540-39817-2

  • eBook Packages: Springer Book Archive