On Generalized Vector Equilibrium Problems

Journal of Global Optimization

Volumn 16, Issue 1, 2000, Pages 33-41

  Anastassiou, George A ^a   Rychlik, Tomasz ^b  

^a University of Memphis   (United States)

^b INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346111803     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008381318560     Document Type: Article

References (18)

1. Ansari, Q.H. (1995), On generalized vector variational-like inequalities, Ann. Sci. Math. Québec 19(2): 131-137.
2. Ansari, Q.H., Oetli, W. and Schlager, D. (1997), A generalization of vectorial equilibria, Math. Meth. Oper. Res. 46: 147-152.
3. Baiochi, C. and Capelo, A. (1984), Variational and quasivariational inequalities, Application to Free-Boundary Problems, J. Wiley & Sons.
4. Bianchi, M. and Schaible, S. (1996), Generalized monotone bifunctions and equilibrium problems, J. Optim. Theory Appl. 90: 31-43.
5. Bianchi, M., Hadjisavvas, N. and Schaible, S. (1997), Vector equilibrium problems with generalized monotone function, J. Optim. Theory Appl. 92: 527-542.
6. Blum, E. and Oetli, W. (1993), From optimization and variational inequalities to equilibrium problems, The Mathematics Student, 63: 1-23.
7. Chadli, O., Chbani, Z. and Riahi, H. (1999), Equilibrium problems with generalized monotone functions and applications to variational inequalities, Séminaire d'Analyse Convexe, Montpellier, exposé No 20, 1996; J. Optim. Theory Appl. (to appear).
8. Chen, G.Y. (1992), Existence of solutions for a vector variational inequality: An extension of Hartman-Stampacchia theorem, J. Optim. Theory Appl. 74: 445-456.
9. Fan, K. (1961), A generalization of Tychonoff's fixed point theorem, Matematische Annalen, 142: 305-310.
10. Hadjisavvas, N. and Schaible, S. (1996), Quasimonotone variational inequalities in Banach spaces, J. Optim. Theory Appl. 90, 95-111.
11. Hlavac̃ek, I., Haslinger, J., Nec̃as, J. and Lavis̃ek, I. (1988), Solution of Variational Inequalities in mechanics, Springer, Berlin.
12. Karamardian, S. and Schaible, S. (1990), Seven kinds of monotone maps, J. Optim. Theory Appl. 66: 37-46.
13. Lee, G.M., Kim, D.S. and Lee, B.S. (1996), On noncooperative vector equilibrium, Indian J. Pure Appl. Math. 278: 735-739.
14. Lee, G.M., Kim, D.S., Lee, B.S. and Cho, S.J. (1993), Generalized vector variational inequality and fuzzy extension, Appl. Math. Lett. 6: 47-51.
15. Luc, D.T. (1989), Theory of vector optimization, Lecture Notes in Economics and Mathematical Systems, 319, Springer Verlag.
16. Oettli, W. (1997), A remark on vector-valued equilibria and generalized monotonicity, Acta Math. Vietnamica 22: 213-221.
17. Parida, J., Shoo, M. and Kumar, A. (1989), A variational-like inequality problem, Bull. Austral. Math. Soc. 39: 225-231.
18. Siddiqi, A.H., Ansari, Q.H. and Ahmad, R. (1997), On vector variational-like inequalities, Indian J. Pure Appl. Math., 28(8): 1009-1016.