Skip to main content

Optimality conditions for some nonconvex problems

  • Mathematical Programming: Theory
  • Conference paper
  • First Online:
Book cover Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 23))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Deumlich, R.; Elster, K.-H.; Nehse, R.: Recent results on separation of convex sets. Math. Operationsforsch. u. Statist., Ser. Optimization 9(1978), 273–296.

    Google Scholar 

  2. Elster, K.-H.; Nehse, R.: Ein Bipolarensatz. Math. Nachr. 62(1974), 111–119.

    Google Scholar 

  3. Elster, K.-H.; Nehse, R.: Nichtkonvexe Optimierungsprobleme. 21. Internat. Wiss. Koll. TH Ilmenau 1976, Vortragsauszüge Reihe B1, 69–72.

    Google Scholar 

  4. Elster, K.-H.; Nehse, R.: Necessary and sufficient conditions for the order-completeness of partially ordered vector spaces. Math. Nachr. 81(1978), 301–311.

    Google Scholar 

  5. Elster, K.-H.; Nehse, R.: Separation of certain non-convex sets. Proc. of the Conf. MMÖ in Smolenice (CSSR) 1979 (to appear).

    Google Scholar 

  6. Ioffe, A. D.; Tichomirov, V. M.: Theorie der Extremalaufgaben. Deutscher Verlag d. Wiss., Berlin 1979.

    Google Scholar 

  7. Nehse, R.: Some general separation theorems. Math. Nachr. 84(1978), 319–327.

    Google Scholar 

  8. Nehse, R.: Ordnungstheoretische Untersuchungen zu nichtkonvexen Optimierungsproblemen. Diss. B, TH Ilmenau 1978.

    Google Scholar 

  9. Nehse, R.: Methoden der konvexen Optimierung für nichtkonvex Probleme. Internat. wiss. Tagung "Math. Optimierung — Theorie und Anwendungen" Eisenach 1978, Vortragsauszüge, 59–62.

    Google Scholar 

  10. Nehse, R.: Separation of two sets in a product space. Math. Nachr. (to appear).

    Google Scholar 

  11. Nehse, R.: Problems in connection with the Hahn-Banach-Theorem. Proc. of the VIIth Summer School "Nonlinear Analysis" Berlin 1979 (to appear).

    Google Scholar 

  12. Yu, P. L.: Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives. J. Optimiz. Theory Appl. 14(1974), 319–377.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K. Iracki K. Malanowski S. Walukiewicz

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Elster, K.H., Nehse, R. (1980). Optimality conditions for some nonconvex problems. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006581

Download citation

  • DOI: https://doi.org/10.1007/BFb0006581

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10081-2

  • Online ISBN: 978-3-540-38253-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics