Abstract | ||
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The paper is devoted to the introduction of weighted quasi-variational inequalities in non-pivot Hilbert spaces. In the first part, we show some existence and regularity results for solutions to such weighted quasi-variational inequalities. The second part concerns the study of a new traffic equilibrium model, where weights and elastic demand occur. A weighted quasi-variational formulation for equilibrium conditions is provided. The general existence and regularity results obtained, in the first part, allow us to show the existence and the continuity of weighted elastic traffic equilibrium solutions. Finally, an example is provided. |
Year | DOI | Venue |
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2015 | 10.1007/s10957-013-0497-z | Journal of Optimization Theory and Applications |
Keywords | Field | DocType |
Weighted quasi-variational inequalities, Non-pivot Hilbert spaces, Weighted elastic traffic equilibrium problem | Hilbert space,Mathematical optimization,Equilibrium conditions,Traffic equilibrium,Mathematics,Variational inequality | Journal |
Volume | Issue | ISSN |
164 | 3 | 1573-2878 |
Citations | PageRank | References |
1 | 0.38 | 15 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Annamaria Barbagallo | 1 | 39 | 5.90 |
Stéphane Pia | 2 | 7 | 1.37 |