scholarly journals Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
Bin Chen ◽  
Xun-Hua Gong ◽  
Shu-Min Yuan
Keyword(s):  
Equilibrium Problems ◽  
Efficient Solutions ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium

Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems

2012 ◽  
Vol 62 (1) ◽  
Author(s):  
Qing-You Liu ◽  
Xian-Jun Long ◽  
Nan-jing Huang
Keyword(s):  
Equilibrium Problem ◽  
Equilibrium Problems ◽  
Efficient Solutions ◽  
Vector Equilibrium Problem ◽  
Vector Equilibrium Problems ◽  
Generalized Vector Equilibrium Problem ◽  
Generalized Vector Equilibrium Problems ◽  
Vector Equilibrium ◽  
Locally Convex

AbstractIn this paper, a generalized vector equilibrium problem is introduced and studied. A scalar characterization of weak efficient solutions for the generalized vector equilibrium problem is obtained. By using the scalarization result, the existence of the weak efficient solutions and the connectedness of the set of weak efficient solutions for the generalized vector equilibrium problem are proved in locally convex spaces.

A note on existence of weak efficient solutions for vector equilibrium problems

2018 ◽  
Vol 12 (3) ◽  
pp. 615-623 ◽  
Author(s):  
C. Gutiérrez ◽  
V. Novo ◽  
J. L. Ródenas-Pedregosa
Keyword(s):  
Equilibrium Problems ◽  
Efficient Solutions ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium
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