Coercivity conditions and Variational Inequalities

Mathematical Programming, Series B

Volumn 86, Issue 2, 1999, Pages 433-438

  Daniilidis, Aris ^a   Hadjisavvas, Nicolas ^a  

^a UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

Coercivity; Pseudomonotonicity; Variational inequalities

Indexed keywords

EID: 0007510118     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070050097     Document Type: Article

References (12)

1. Aubin, J.P., Cellina, A. (1984): Differential Inclusions. Springer, Berlin
2. Auslender, A. (1997): How to deal with the unbounded in Optimization: Theory and Algorithms. Math. Program. 79, 3-18
3. Brezis, H. (1968): Equations et inequations non-lineaires dans les espaces vectoriels en dualité. Ann. Inst. Fourier, Grenoble 18, 115-175
4. Chowdhury, M., Tan, K.-K. (1996): Generalization of Ky Fan's Minimax Inequality with Applications to Generalized Variational Inequalities for Pseudomonotone Operators and Fixed Point Theorems. J. Math. Anal. Appl. 204, 910-929
5. Crouzeix, J.-P. (1997): Pseudomonotone Variational Inequality Problems: Existence of Solutions. Math. Program. 78, 305-314
6. Harker, P., Pang, J.-S. (1990): Finite-dimensional Variational Inequalities and Nonlinear Complementarity Problems: A survey of Theory, Algorithms and Applications. Math. Program. 48, 161-220
7. Karamardian, S. (1976): Complementarity over Cones with Monotone and Pseudomonotone Maps. J. Optim. Theory Appl. 18, 445-154
8. Konnov, I. (1998): On Quasimonotone Variational Inequalities. J. Optim. Theory Appl. 99, 165-181
9. Fan, Ky (1961): A generalization of Tychonoff's fixed point theorem. Math. Annalen 142, 305-310
10. Minty, G. (1962): Monotone (Non Linear) Operators in Hilbert Space. Duke Math. J. 29, 341-346
11. Sion, M. (1958): On General Minimax Theorems. Pac. J. Math. 8, 171-176
12. Yao, J. (1994): Multivalued Variational Inequalities with K-Pseudomonotone Operators. J. Optim. Theory Appl. 83, 391-403