Name
Abstract | ||
|---|---|---|
We introduce variational inequalities defined in non-pivot Hilbert spaces and we show some existence results. Then, we prove
regularity results for weighted variational inequalities in non-pivot Hilbert space. These results have been applied to the
weighted traffic equilibrium problem. The continuity of the traffic equilibrium solution allows us to present a numerical
method to solve the weighted variational inequality that expresses the problem. In particular, we extend the Solodov-Svaiter
algorithm to the variational inequalities defined in finite-dimensional non-pivot Hilbert spaces. Then, by means of a interpolation,
we construct the solution of the weighted variational inequality defined in a infinite-dimensional space. Moreover, we present
a convergence analysis of the method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s10589-009-9259-0 | Computational Optimization and Applications |
Keywords | Field | DocType |
Non-pivot Hilbert spaces,Weighted variational inequalities,Existence and regularity results,Solodov-Svaiter method | Convergence (routing),Hilbert's nineteenth problem,Hilbert space,Mathematical optimization,Mathematical analysis,Interpolation,Numerical analysis,Obstacle problem,Mathematics,Traffic equilibrium,Variational inequality | Journal |
Volume | Issue | ISSN |
48 | 3 | 0926-6003 |
Citations | PageRank | References |
2 | 0.41 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Annamaria Barbagallo | 1 | 39 | 5.90 |
| Stéphane Pia | 2 | 7 | 1.37 |