Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems

Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with [Formula: see text] . Then, in terms of prederivatives, we establish both necessary and suff...

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Detalles Bibliográficos
Autores principales: Huang, Hui, Ning, Jixian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5625006/
https://www.ncbi.nlm.nih.gov/pubmed/29046606
http://dx.doi.org/10.1186/s13660-017-1519-4
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author Huang, Hui
Ning, Jixian
author_facet Huang, Hui
Ning, Jixian
author_sort Huang, Hui
collection PubMed
description Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with [Formula: see text] . Then, in terms of prederivatives, we establish both necessary and sufficient conditions for the existence of Pareto minimal solution of set optimization problems.
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spelling pubmed-56250062017-10-16 Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems Huang, Hui Ning, Jixian J Inequal Appl Research Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with [Formula: see text] . Then, in terms of prederivatives, we establish both necessary and sufficient conditions for the existence of Pareto minimal solution of set optimization problems. Springer International Publishing 2017-10-02 2017 /pmc/articles/PMC5625006/ /pubmed/29046606 http://dx.doi.org/10.1186/s13660-017-1519-4 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
Huang, Hui
Ning, Jixian
Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
title Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
title_full Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
title_fullStr Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
title_full_unstemmed Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
title_short Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
title_sort prederivatives of gamma paraconvex set-valued maps and pareto optimality conditions for set optimization problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5625006/
https://www.ncbi.nlm.nih.gov/pubmed/29046606
http://dx.doi.org/10.1186/s13660-017-1519-4
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AT ningjixian prederivativesofgammaparaconvexsetvaluedmapsandparetooptimalityconditionsforsetoptimizationproblems

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