Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications

The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact domain as applications. Finally, some equivalent re...

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Main Authors: De-ning Qu, Cao-zong Cheng
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/267585
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author De-ning Qu
Cao-zong Cheng
author_facet De-ning Qu
Cao-zong Cheng
author_sort De-ning Qu
collection DOAJ
description The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact domain as applications. Finally, some equivalent results of the established Ekeland variational principle are presented.
format Article
id doaj-art-dfb90d8290fa4cc7a0636da8ab079858
institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-dfb90d8290fa4cc7a0636da8ab0798582025-02-03T05:46:34ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/267585267585Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and ApplicationsDe-ning Qu0Cao-zong Cheng1College of Applied Science, Beijing University of Technology, Beijing 100124, ChinaCollege of Applied Science, Beijing University of Technology, Beijing 100124, ChinaThe aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact domain as applications. Finally, some equivalent results of the established Ekeland variational principle are presented.http://dx.doi.org/10.1155/2013/267585
spellingShingle De-ning Qu
Cao-zong Cheng
Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications
Journal of Function Spaces and Applications
title Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications
title_full Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications
title_fullStr Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications
title_full_unstemmed Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications
title_short Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications
title_sort ekeland variational principle for generalized vector equilibrium problems with equivalences and applications
url http://dx.doi.org/10.1155/2013/267585
work_keys_str_mv AT deningqu ekelandvariationalprincipleforgeneralizedvectorequilibriumproblemswithequivalencesandapplications
AT caozongcheng ekelandvariationalprincipleforgeneralizedvectorequilibriumproblemswithequivalencesandapplications