Quasi-variational inequality problems with non-compact valued constraint maps

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Aussel, Didier¹  Sultana, Asrifa¹ 

[1] Univ Perpignan, Lab PROMES UPR CNRS 8521, Via Domitia, Perpignan, France

关键词: Quasi-variational inequality;    Pseudomonotone maps;    Quasimonotone maps;    Coercivity conditions;    Nash equilibrium;   

DOI  :  10.1016/j.jmaa.2017.06.034

来源: Elsevier

【 摘 要 】

Quasi-variational inequality problems correspond to variational inequality problems in which the constraint set depends on the variable. They are playing nowadays an increasing role in the modelization of real life problem, in particular, because they provide a perfect framework for the reformulation of generalized Nash equilibrium problems. Our aim in this work is to establish the existence of solutions for quasi variational inequalities defined by a non-monotone map and a constraint map which possibly admits unbounded values. The key tools are the use of coercivity conditions and Himmelberg fixed point theorem. Applications to existence of generalized Nash equilibrium is also considered. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free