A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results

In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak...

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Detalles Bibliográficos
Autores principales: Preechasilp, Pakkapon, Wangkeeree, Rabian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4987761/
https://www.ncbi.nlm.nih.gov/pubmed/27588238
http://dx.doi.org/10.1186/s40064-016-3001-z
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author Preechasilp, Pakkapon
Wangkeeree, Rabian
author_facet Preechasilp, Pakkapon
Wangkeeree, Rabian
author_sort Preechasilp, Pakkapon
collection PubMed
description In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé–Kuratowski upper convergence of solution set is also discussed as an application, when both the objective mapping and the constraint set are perturbed by difference parameters.
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spelling pubmed-49877612016-09-01 A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results Preechasilp, Pakkapon Wangkeeree, Rabian Springerplus Research In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé–Kuratowski upper convergence of solution set is also discussed as an application, when both the objective mapping and the constraint set are perturbed by difference parameters. Springer International Publishing 2016-08-12 /pmc/articles/PMC4987761/ /pubmed/27588238 http://dx.doi.org/10.1186/s40064-016-3001-z Text en © The Author(s) 2016 Open AccessThis 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
Preechasilp, Pakkapon
Wangkeeree, Rabian
A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
title A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
title_full A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
title_fullStr A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
title_full_unstemmed A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
title_short A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
title_sort characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4987761/
https://www.ncbi.nlm.nih.gov/pubmed/27588238
http://dx.doi.org/10.1186/s40064-016-3001-z
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