Log in

Convex programming and variational inequalities

  • Contributed Papers
  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

We observe that variational inequalities generalize convex programming. We look here for a method of computing solutions of variational inequalities in a finite-dimensional space. The method we propose is quite close to the method of Theil-Van de Panne described in Ref. 1 in the case of quadratic programming.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Canada)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Boot, J. C. G.,Quadratic Programming, North-Holland Publishing Company, Amsterdam, Holland, 1964.

    Google Scholar 

  2. Stampacchia, G.,Variational Inequalities, Theory and Applications of Monotone Operators, Proceedings of the NATO Advanced Study Institute, Venice, Italy, 1968 (Edizioni Oderisi, Gubbio, Italy, 1968).

    Google Scholar 

  3. Rockafellar, R. T.,Convex Functions, Monotone Operators, and Variational Inequalities, Theory and Applications of Monotone Operators, Proceedings of the NATO Advanced Study Institute, Venice, Italy, 1968 (Edizioni Oderisi, Gubbio, Italy, 1968).

    Google Scholar 

  4. Mancino, O. G.,Esistenza, Unicitá e Calcolo della Soluzione di un Sistema Non Lineare, Calcolo, Vol. 7, No. 3, 1970.

  5. Mancino, O. G.,Resolution by Iteration of Some Nonlinear Systems, Journal of the Association for Computing Machinery, Vol. 14, No. 2, 1967.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by R. Conti

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mancino, O.G., Stampacchia, G. Convex programming and variational inequalities. J Optim Theory Appl 9, 3–23 (1972). https://doi.org/10.1007/BF00932801

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00932801

Keywords

Navigation