1. On the well-posedness and solvability of Lur'e quasi-variational inequalities
- Author
-
Khiet, Le Ba, Brogliato, Bernard, Ton Duc Thang University [Hô-Chi-Minh-City], Modélisation, simulation et commande des systèmes dynamiques non lisses (TRIPOP), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), and Université Grenoble Alpes (UGA)
- Subjects
Lur'e set-valued dynamical systems ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,Quasi-variational inequalities ,Variational inequalities ,Maximal monotone operators - Abstract
In the paper, a new class of quasi-variational inequalities is introduced which can be applied in the study of Lur'e set-valued dynamical systems and game theory. An efficient method to solve the problem and the convergence analysis are provided.
- Published
- 2021