Existence results for different type of generalized vector equilibrium problems

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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Bibliographic Details
Main Authors: Camellia Ghaem Alizadeh, S. Mansour Vaezpour
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
generalized vector equilibrium problem
Hausdorff topological vector spaces
multivalued map
Online Access:http://dx.doi.org/10.1080/23311835.2017.1307539
Description
Summary: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.
ISSN:2331-1835

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