Scalarization and Kuhn-Tucker-Like Conditions for Weak Vector Generalized Quasivariational Inequalities |
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Authors: | J. Morgan M. Romaniello |
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Affiliation: | (1) Dipartimento di Matematica e Statistica, Università di Napoli Federico II, Napoli, Italia;(2) Dipartimento di Scienze Aziendali, Università della Calabria, Cosenza, Italia |
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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 |
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Keywords: | Weak vector generalized quasivariational inequalities set-valued operators vector optimization scalarization methods generalized Kuhn-Tucker conditions |
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