Exceptional family of elements and feasibility for nonlinear complementarity problems

Journal of Global Optimization

Volumn 25, Issue 3, 2003, Pages 337-344

  Huang, Nan Jing ^a   Gao, Cheng Jia ^a   Huang, Xiao Ping ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

Exceptional family of elements; Feasibility; Homotopy; Nonlinear complementarity problem

Indexed keywords

EID: 84867954885     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1023/A:1022410913734     Document Type: Article

References (15)

1. Y.M. Bershchanskii M.V. Meerov 1983 The complementarity problem: theory and methods of solution Auto. Remote Control 44 687 710
2. Cottle, R.W.; Pang, J.S. and Stone, R.E. (1992), The Linear Complementarity Problem, Acdemic Press, New York
3. Kalashnikov, V. (1995), Complementarity problem and the generalized oligopoly model, Habilitation Thesis, Central Economics and Mathematics Institute, Moscow, Russia.
4. M.A. Kojima 1975 Unification of the existence theorems of the nonlinear complementarity problem Math. Program. 9 2 257 277
5. Lloyd, N.G. (1978), Degree Theory, Cambridge Tracts in Mathematics 73: Cambridge University Press.
6. N. Megiddo 1977 A monotone complementarity problem with feasible solutions but no complementary solution Math. Program. Study 12 131 132
7. Mosco, U. (1976), Implicit Variational Problems and Quasi-variational Inequalities, Lecture Notes in Math. 543: Springer, Berlin.
8. G. Isac M.M. Kostreva M.M. Wiecek 1995 Multiple-objective approximation of feasible but unsolvable linear complementarity problems J. Optim. Theory Appl. 86 389 405
9. G. Isac 2000 Exceptional families of elements, feasibility and complementarity J. Optim. Theory Appl. 104 3 577 588
10. Isac, G. (2000), Topological Methods in Complementarity Theory, Kluwer Academic Publishers, Dordrecht.
11. G. Isac W.T. Obuchowska 1998 Functions without EFE and complementarity problems J. Optim. Theory Appl. 99 1 147 163
12. G. Isac V. Bulavski V. Kalashnikov 1997 Exceptional families, topological degree and complementarity problems J. Global Optim. 10 207 225
13. Y.B. Zhao J.Y. Han H.D. Qi 1999 Exeptional families and existence theorems for variational inequality problems J. Optim. Theory Appl. 101 2 475 495
14. Y.B. Zhao J.Y. Han 1999 Exeptional family of elements for a variational inequality problem and its applications J. Global Optim. 14 313 330
15. L.P. Zhang J.Y. Han D.C. Xu 2000 The existence of solutions for variational inequalities Science in China 30 10 893 899