Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application
<p/> <p>This paper is devoted to the characterizations of the boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both the mapping and the constraint set are perturbed by different parameters. By using the properties o...
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doaj-cff80257449a4c74b32b9ee4c685d37b2020-11-25T00:58:02ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111936428Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an ApplicationCho YeolJeZhong Ren-YouHuang Nan-Jing<p/> <p>This paper is devoted to the characterizations of the boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both the mapping and the constraint set are perturbed by different parameters. By using the properties of recession cones, several equivalent characterizations are given for the set-valued vector equilibrium problems to have nonempty and bounded solution sets. As an application, the stability of solution set for the set-valued vector equilibrium problem in a reflexive Banach space is also given. The results presented in this paper generalize and extend some known results in Fan and Zhong (2008), He (2007), and Zhong and Huang (2010).</p>http://www.journalofinequalitiesandapplications.com/content/2011/936428 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Cho YeolJe Zhong Ren-You Huang Nan-Jing |
spellingShingle |
Cho YeolJe Zhong Ren-You Huang Nan-Jing Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application Journal of Inequalities and Applications |
author_facet |
Cho YeolJe Zhong Ren-You Huang Nan-Jing |
author_sort |
Cho YeolJe |
title |
Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application |
title_short |
Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application |
title_full |
Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application |
title_fullStr |
Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application |
title_full_unstemmed |
Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application |
title_sort |
boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems with an application |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1025-5834 1029-242X |
publishDate |
2011-01-01 |
description |
<p/> <p>This paper is devoted to the characterizations of the boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both the mapping and the constraint set are perturbed by different parameters. By using the properties of recession cones, several equivalent characterizations are given for the set-valued vector equilibrium problems to have nonempty and bounded solution sets. As an application, the stability of solution set for the set-valued vector equilibrium problem in a reflexive Banach space is also given. The results presented in this paper generalize and extend some known results in Fan and Zhong (2008), He (2007), and Zhong and Huang (2010).</p> |
url |
http://www.journalofinequalitiesandapplications.com/content/2011/936428 |
work_keys_str_mv |
AT choyeolje boundednessandnonemptinessofsolutionsetsforsetvaluedvectorequilibriumproblemswithanapplication AT zhongrenyou boundednessandnonemptinessofsolutionsetsforsetvaluedvectorequilibriumproblemswithanapplication AT huangnanjing boundednessandnonemptinessofsolutionsetsforsetvaluedvectorequilibriumproblemswithanapplication |
_version_ |
1725221618584649728 |