Title
Weighted Quasi-Variational Inequalities in Non-pivot Hilbert Spaces and Applications
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.
Year
DOI
Venue
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 Barbagallo1395.90
Stéphane Pia271.37