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.
Similar content being viewed by others
References
G. Di Pillo and L. Grippo (1989), Exact penalty functions in constrained optimization,SIAM Journal Control and Optimization 28, 1333–1360.
G. J. Habetler and M. M. Kostreva (1978), On a direct algorithm for nonlinear complementarity problems,SIAM J. Control and Optimization 16, 504–511.
A. V. Fiacco and G. P. McCormick (1968),Nonlinear Programming: Sequential Unconstrained Minimization Techniques, John Wiley and Sons, New York.
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.
J. Moré and W. Rheinboldt (1973), OnP- andS-functions and related classes ofn-dimensional nonlinear mappings,Linear Algebra Appl. 6, 45–68.
S. Shi, Q. Zheng, and D. Zhuang (1991), Discontinuous robust mappings are approximatable, preprint.
S. Shi, Q. Zheng, and D. Zhuang (1991), Set-valued mappings and approximatable mappings, preprint.
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.
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.
Q. Zheng (1991), Global minimization of constrained problems with discontinuous penalty functions, preprint.
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.
Q.Zheng (1992), Integral global optimization of robust discontinuous functions, Ph.D. Dissertation, Clemson University.
Author information
Authors and Affiliations
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01100692