Weighted Quasi-Variational Inequalities in Non-pivot Hilbert Spaces and Applications

Annamaria Barbagallo () and Stéphane Pia
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Annamaria Barbagallo: University of Naples ‘Federico II’
Stéphane Pia: University of Catania

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 3, No 4, 803 pages

Abstract: 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.

Keywords: Weighted quasi-variational inequalities; Non-pivot Hilbert spaces; Weighted elastic traffic equilibrium problem (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-013-0497-z

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