Optimality for set-valued optimization in the sense of vector and set criteria

The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems. By using Studniarski derivatives, the necessary a...

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Detalles Bibliográficos
Autores principales: Kong, Xiangyu, Yu, GuoLin, Liu, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5315742/
https://www.ncbi.nlm.nih.gov/pubmed/28260845
http://dx.doi.org/10.1186/s13660-017-1319-x
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author Kong, Xiangyu
Yu, GuoLin
Liu, Wei
author_facet Kong, Xiangyu
Yu, GuoLin
Liu, Wei
author_sort Kong, Xiangyu
collection PubMed
description The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems. By using Studniarski derivatives, the necessary and sufficient optimality conditions are derived in the sense of vector and set optimization.
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spelling pubmed-53157422017-03-02 Optimality for set-valued optimization in the sense of vector and set criteria Kong, Xiangyu Yu, GuoLin Liu, Wei J Inequal Appl Research The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems. By using Studniarski derivatives, the necessary and sufficient optimality conditions are derived in the sense of vector and set optimization. Springer International Publishing 2017-02-17 2017 /pmc/articles/PMC5315742/ /pubmed/28260845 http://dx.doi.org/10.1186/s13660-017-1319-x Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kong, Xiangyu
Yu, GuoLin
Liu, Wei
Optimality for set-valued optimization in the sense of vector and set criteria
title Optimality for set-valued optimization in the sense of vector and set criteria
title_full Optimality for set-valued optimization in the sense of vector and set criteria
title_fullStr Optimality for set-valued optimization in the sense of vector and set criteria
title_full_unstemmed Optimality for set-valued optimization in the sense of vector and set criteria
title_short Optimality for set-valued optimization in the sense of vector and set criteria
title_sort optimality for set-valued optimization in the sense of vector and set criteria
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5315742/
https://www.ncbi.nlm.nih.gov/pubmed/28260845
http://dx.doi.org/10.1186/s13660-017-1319-x
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AT yuguolin optimalityforsetvaluedoptimizationinthesenseofvectorandsetcriteria
AT liuwei optimalityforsetvaluedoptimizationinthesenseofvectorandsetcriteria

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