Connectedness of solution sets for generalized vector equilibrium problems via free-disposal sets in complete metric space

2021 ◽  
Author(s):  
Chong-Yang Shao ◽  
Zai-Yun Peng ◽  
Yi-Bin Xiao ◽  
Yong Zhao
Keyword(s):  
Metric Space ◽  
Equilibrium Problems ◽  
Complete Metric Space ◽  
Vector Equilibrium Problems ◽  
Solution Sets ◽  
Free Disposal ◽  
Generalized Vector Equilibrium Problems ◽  
Vector Equilibrium

scholarly journals Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
A. P. Farajzadeh ◽  
A. Amini-Harandi ◽  
D. O'Regan
Keyword(s):  
Equilibrium Problems ◽  
Sufficient Conditions ◽  
Vector Spaces ◽  
Multivalued Mappings ◽  
Vector Equilibrium Problems ◽  
Solution Sets ◽  
Topological Vector Spaces ◽  
Set Valued Mapping ◽  
Generalized Vector Equilibrium Problems ◽  
Vector Equilibrium

We first define upper sign continuity for a set-valued mapping and then we consider two types of generalized vector equilibrium problems in topological vector spaces and provide sufficient conditions under which the solution sets are nonempty and compact. Finally, we give an application of our main results. The paper generalizes and improves results obtained by Fang and Huang in (2005).

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