Approximate gradient projected condition in multiobjective optimization

In this work we present an extention of the well-known Approximated Gradient Projection (AGP) [8] property from the scalar problem with equality and inequality constraints to multiobjective problems. We prove that the condition called Multiobjective Approximate Gradient Projection (MAGP), is necessa...

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Autores principales: Ramos, Alberto, Sánchez, María Daniela, Schuverdt, María Laura
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/81899
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Sumario:In this work we present an extention of the well-known Approximated Gradient Projection (AGP) [8] property from the scalar problem with equality and inequality constraints to multiobjective problems. We prove that the condition called Multiobjective Approximate Gradient Projection (MAGP), is necessary for a point to be a local weak Pareto point and we study, under convex assumptions, sufficient conditions.