scholarly journals An existence result for generalized vector equilibrium problems without pseudomonotonicity

2006 ◽  
Vol 19 (12) ◽  
pp. 1320-1326 ◽  
Author(s):  
Lu-Chuan Zeng ◽  
Jen-Chih Yao
Keyword(s):  
Existence Result ◽  
Equilibrium Problems ◽  
Vector Equilibrium Problems ◽  
Generalized 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.

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