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.
Weighted Quasi-Variational Inequalities in Non-Pivot Hilbert Spaces and Applications / Barbagallo, Annamaria; S., Pia. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 1573-2878. - STAMPA. - 164:3(2015), pp. 781-803. [10.1007/s10957-013-0497-z]
Weighted Quasi-Variational Inequalities in Non-Pivot Hilbert Spaces and Applications
BARBAGALLO, ANNAMARIA
;
2015
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.