EURO 2024 Copenhagen
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439. Quasi-variational inequalities and applications: new challenges on the constraints set-valued map

Invited abstract in session TD-40: Tools and algorithms for equilibrium detection, stream Interfaces Between Optimization, Hierarchical Problems and Equilibrium Detection with Applications.

Tuesday, 14:30-16:00
Room: 96 (building: 306)

Authors (first author is the speaker)

1. Domenico Scopelliti
University of Calabria

Abstract

In 1982, Chan and Pang introduced the quasi-variational inequality, that is, a Stampacchia variational inequality where the constraints set is subject to modifications depending on the considered point. Nowadays, it provides a broad unifying setting for the study of several mathematical problems and real-world applications.
The classical way to get the existence of solutions consists of requiring that the constraints set-valued map is a self-map; in addition, suitable continuity assumptions and properties on its values are required. However, to deal with the challenges arising from the applications, sometimes it is needed to remove some of these requirements.
With this spirit, the talk aims to discuss some recent developments on the topic.

Keywords

Status: accepted

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