Quasi-variational inequality problems with non-compact valued constraint maps
| Autor: | Didier Aussel, Asrifa Sultana |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
TheoryofComputation_MISCELLANEOUS
021103 operations research Inequality Applied Mathematics media_common.quotation_subject 0211 other engineering and technologies TheoryofComputation_GENERAL Fixed-point theorem 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Set (abstract data type) Constraint (information theory) symbols.namesake Nash equilibrium Variational inequality Key (cryptography) symbols Applied mathematics 0101 mathematics Mathematical economics Analysis Mathematics media_common Variable (mathematics) |
| Zdroj: | Journal of Mathematical Analysis and Applications. 456:1482-1494 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2017.06.034 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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