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Scalarization and Kuhn-Tucker-Like Conditions for Weak Vector Generalized Quasivariational Inequalities
Authors:J. Morgan  M. Romaniello
Affiliation:(1) Dipartimento di Matematica e Statistica, Università di Napoli Federico II, Napoli, Italia;(2) Dipartimento di Scienze Aziendali, Università della Calabria, Cosenza, Italia
Abstract:We consider a weak vector generalized quasivariational inequality. By introducing a method of scalarization which does not require any assumption on the data and by using previous results of the authors concerning scalar generalized quasivariational inequalities, we present Kuhn-Tucker-like conditions for this problem in the case in which the set-valued operator of the constraints is defined by a finite number of inequalities
Keywords:Weak vector generalized quasivariational inequalities  set-valued operators  vector optimization  scalarization methods  generalized Kuhn-Tucker conditions
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