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Factorization of quasi-variational relations systems
Daniela Inoan

 

Abstract

Variational relation problems allow a general approach for variational inequalities, equilibrium problems, optimization problems, and variational inclusions. In this paper, we consider a system of quasi-variational relations and determine some conditions in which the solvability of the independent problems implies the existence of a solution for the system. We particularize then the result for a system of variational inequalities and for a constrained Nash equilibrium problem.

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