Exceptional families and finite-dimensional variational inequalities over polyhedral convex sets

Applied Mathematics and Computation

Volumn 87, Issue 2-3, 1997, Pages 111-126

  Zhao, Yun Bin ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000140189     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00224-X     Document Type: Article

References (18)

1. P. T. Harker and J. S. Pang, Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theorem, algorithms, and applications, Math. Prog., 48B: 161-220 (1990).
2. R. W. Cottle, Nonlinear programs with positively bounded jacobians, SIAM J. Appl. Math., 14:147-158 (1966).
3. B. C. Eaves, On the basic theorem of complementarity problem, Math. Prog., 1:68-75, (1971).
4. B. C. Eaves, The linear complementarity problem, Management Science, 17:612-634, (1971).
5. S. Karamardian, The complementarity problem, Math. Prog., 2:107-129, (1972).
6. S. Karamardian, Generalized complementarity problem, J. Opti. Theory and Appli., 3:161-167, (1971).
7. S. Karamardian, Complementarity problems over cones with monotone and pseudo-monotone maps, J. Opti. Theory and Appli., 4:445-454, (1976).
8. J. J. Moré, Classes of function and feasiblity condition in nonlinear complementarity problem, Math. Prog. 6:327-338, (1974).
9. J. J. Moré, Coercivity conditions in nonlinear complementarity problem, SIAM Review, 16:1-16, (1974).
10. G. J. Habetler, and A. L. Price, Existence theorem for generalized nonlinear complementarity problems, J. Opti. Theory and Appli., 4:223-239, (1971).
11. J. S. Pang, Least-element complementarity theory, Ph.D. dissertation, Department of operations research, Stanford University (Stanford, CA, 1976).
12. J. S. Pang and J. C. Yao, On a generalization of a normal map and equation, SIAM J. Control Opti., 33:168-184, (1995).
13. T. E. Smith, A solution condition for complementarity problems, with an application to spatial price equilibrium, Appli. Math. Comp., 15:61-69 (1984).
14. G. Isac, Fixed point theory, coincidences on convex cones and complementarity problem, Contemporary Mathematics, 72:139-155, (1988).
15. P. T. Harker, A note on the existence of traffic equilibria, Appli. Math. Comp., 18:277-283, (1986).
16. H. D. Qi, Stability analysis in complementarity problems, Ph.D. dissertation, Institute of Applied Mathematics, Chinese Academy of Science, 1996.
17. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and their Applications, Academic Press, 1980.
18. R. W. Cottle, J. S. Pang and K. E. Stone, The Linear Complementarity Problem, Academic Press, Boston, 1992.