Multi-duality in variational inequalities and complementarity problems
Conference
·
OSTI ID:36049
The multi-duality theory in variational inequalities and non linear complementarity problems is studied. By using the method developed by Gao-Strang, the Fenchel-Rockafellar`s duality theory is generalized to the problems {l_angle}DJ (u, {Lambda}u), v {minus} u{r_angle} {ge} 0 {forall}v {element_of} K. It is proved that if {Lambda} is an affine operator, then there exists a complementary gap function in dual problem. Application to the obstacle problem is illustrated, and two dual variational inequalities are established. It is shown that for the same primal problem there may exist different dual problems.
- OSTI ID:
- 36049
- Report Number(s):
- CONF-9408161-; TRN: 94:009753-0318
- Resource Relation:
- Conference: 15. international symposium on mathematical programming, Ann Arbor, MI (United States), 15-19 Aug 1994; Other Information: PBD: 1994; Related Information: Is Part Of Mathematical programming: State of the art 1994; Birge, J.R.; Murty, K.G. [eds.]; PB: 312 p.
- Country of Publication:
- United States
- Language:
- English
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