Properly efficient solutions to non-differentiable multiobjective optimization problems
Abstract In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of...
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Universidad Católica del Norte, Departamento de Matemáticas
2018
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oai:scielo:S0716-091720180003004292018-10-10Properly efficient solutions to non-differentiable multiobjective optimization problemsBatista dos Santos,L.Rojas-Medar,M. A.Vivanco-Orellana,V. Multiobjective optimization efficient solution properly efficient solution. Abstract In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.3 20182018-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300429en10.4067/S0716-09172018000300429 |
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Scielo Chile |
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Scielo Chile |
language |
English |
topic |
Multiobjective optimization efficient solution properly efficient solution. |
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Multiobjective optimization efficient solution properly efficient solution. Batista dos Santos,L. Rojas-Medar,M. A. Vivanco-Orellana,V. Properly efficient solutions to non-differentiable multiobjective optimization problems |
description |
Abstract In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke. |
author |
Batista dos Santos,L. Rojas-Medar,M. A. Vivanco-Orellana,V. |
author_facet |
Batista dos Santos,L. Rojas-Medar,M. A. Vivanco-Orellana,V. |
author_sort |
Batista dos Santos,L. |
title |
Properly efficient solutions to non-differentiable multiobjective optimization problems |
title_short |
Properly efficient solutions to non-differentiable multiobjective optimization problems |
title_full |
Properly efficient solutions to non-differentiable multiobjective optimization problems |
title_fullStr |
Properly efficient solutions to non-differentiable multiobjective optimization problems |
title_full_unstemmed |
Properly efficient solutions to non-differentiable multiobjective optimization problems |
title_sort |
properly efficient solutions to non-differentiable multiobjective optimization problems |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2018 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300429 |
work_keys_str_mv |
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1718439837072097280 |