Skip to main content
Log in

Integral global optimization method for solution of nonlinear complementarity problems

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

The mapping in a nonlinear complementarity problem may be discontinuous. The integral global optimization algorithm is proposed to solve a nonlinear complementarity problem with a robust piecewise continuous mapping. Numerical examples are given to illustrate the effectiveness of the algorithm.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Di Pillo and L. Grippo (1989), Exact penalty functions in constrained optimization,SIAM Journal Control and Optimization 28, 1333–1360.

    Google Scholar 

  2. G. J. Habetler and M. M. Kostreva (1978), On a direct algorithm for nonlinear complementarity problems,SIAM J. Control and Optimization 16, 504–511.

    Google Scholar 

  3. A. V. Fiacco and G. P. McCormick (1968),Nonlinear Programming: Sequential Unconstrained Minimization Techniques, John Wiley and Sons, New York.

    Google Scholar 

  4. O. L. Mangasarian and M. V. Solodov (1992), Nonlinear complementarity as unconstrained and constrained minimization, Computer Sciences Technical Report No. 1074, Computer Sciences Department, University of Wisconsin-Madison.

  5. J. Moré and W. Rheinboldt (1973), OnP- andS-functions and related classes ofn-dimensional nonlinear mappings,Linear Algebra Appl. 6, 45–68.

    Google Scholar 

  6. S. Shi, Q. Zheng, and D. Zhuang (1991), Discontinuous robust mappings are approximatable, preprint.

  7. S. Shi, Q. Zheng, and D. Zhuang (1991), Set-valued mappings and approximatable mappings, preprint.

  8. Q. Zheng (1990), Robust analysis and global minimization of a class of discontinuous functions (I),Acta Mathematicae Applicatae Sincia (English Series) 6(sn3), 205–223.

    Google Scholar 

  9. Q. Zheng (1990), Robust analysis and global optimization of a class of discontinuous functions (II),Acta Mathematicae Applicatae Sinica (English Series) 6(sn4), 317–337.

    Google Scholar 

  10. Q. Zheng (1991), Global minimization of constrained problems with discontinuous penalty functions, preprint.

  11. Q. Zheng and D. Zhuang (1992), Integral global optimization of constrained problems in functional space with discontinuous penalty functions, in C. A. Floudas and P. M. Pardalos (eds.),Recent Advances in Global Optimization, 298–320, Princeton University Press.

  12. Q.Zheng (1992), Integral global optimization of robust discontinuous functions, Ph.D. Dissertation, Clemson University.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kostreva, M.M., Zheng, Q. Integral global optimization method for solution of nonlinear complementarity problems. J Glob Optim 5, 181–193 (1994). https://doi.org/10.1007/BF01100692

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01100692

Key words

Navigation