Existence results for different type of generalized vector equilibrium problems

In this paper, we provide characterization of the non-emptiness of the solution set for several kinds of generalized vector equilibrium problems. Using generalized KKM theorems, some sufficient conditions are given to guarantee the existence results of these problems. Some illustrative examples are...

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Main Authors: Camellia Ghaem Alizadeh, S. Mansour Vaezpour
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2017.1307539
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spelling doaj-8053c27257564fe4b88d3ebc4b0bf4062020-11-25T01:46:35ZengTaylor & Francis GroupCogent Mathematics2331-18352017-01-014110.1080/23311835.2017.13075391307539Existence results for different type of generalized vector equilibrium problemsCamellia Ghaem Alizadeh0S. Mansour Vaezpour1Science and Research Branch, Islamic Azad University (IAU)Amirkabir University of TechnologyIn this paper, we provide characterization of the non-emptiness of the solution set for several kinds of generalized vector equilibrium problems. Using generalized KKM theorems, some sufficient conditions are given to guarantee the existence results of these problems. Some illustrative examples are also given. The new results extend and improve various existence theorems for similar problems.http://dx.doi.org/10.1080/23311835.2017.1307539generalized vector equilibrium problemHausdorff topological vector spacesmultivalued map
collection DOAJ
language English
format Article
sources DOAJ
author Camellia Ghaem Alizadeh
S. Mansour Vaezpour
spellingShingle Camellia Ghaem Alizadeh
S. Mansour Vaezpour
Existence results for different type of generalized vector equilibrium problems
Cogent Mathematics
generalized vector equilibrium problem
Hausdorff topological vector spaces
multivalued map
author_facet Camellia Ghaem Alizadeh
S. Mansour Vaezpour
author_sort Camellia Ghaem Alizadeh
title Existence results for different type of generalized vector equilibrium problems
title_short Existence results for different type of generalized vector equilibrium problems
title_full Existence results for different type of generalized vector equilibrium problems
title_fullStr Existence results for different type of generalized vector equilibrium problems
title_full_unstemmed Existence results for different type of generalized vector equilibrium problems
title_sort existence results for different type of generalized vector equilibrium problems
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2017-01-01
description In this paper, we provide characterization of the non-emptiness of the solution set for several kinds of generalized vector equilibrium problems. Using generalized KKM theorems, some sufficient conditions are given to guarantee the existence results of these problems. Some illustrative examples are also given. The new results extend and improve various existence theorems for similar problems.
topic generalized vector equilibrium problem
Hausdorff topological vector spaces
multivalued map
url http://dx.doi.org/10.1080/23311835.2017.1307539
work_keys_str_mv AT camelliaghaemalizadeh existenceresultsfordifferenttypeofgeneralizedvectorequilibriumproblems
AT smansourvaezpour existenceresultsfordifferenttypeofgeneralizedvectorequilibriumproblems
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