scholarly journals Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems

2003 ◽  
Vol 117 (1) ◽  
pp. 121-137 ◽  
Author(s):  
L.J. Lin ◽  
Q.H. Ansari ◽  
J.Y. Wu
Keyword(s):  
Equilibrium Problems ◽  
Vector Equilibrium Problems ◽  
Geometric Properties ◽  
Coincidence Theorems ◽  
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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