scholarly journals A note on the lower semicontinuity of efficient solutions for parametric vector equilibrium problems

2013 ◽  
Vol 26 (4) ◽  
pp. 469-472 ◽  
Author(s):  
W.Y. Zhang ◽  
Z.M. Fang ◽  
Y. Zhang
Keyword(s):  
Lower Semicontinuity ◽  
Equilibrium Problems ◽  
Efficient Solutions ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium

scholarly journals LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS

2009 ◽  
Vol 81 (1) ◽  
pp. 85-95 ◽  
Author(s):  
SHENG-JIE LI ◽  
HUI-MIN LIU ◽  
CHUN-RONG CHEN
Keyword(s):  
Equilibrium Problem ◽  
Lower Semicontinuity ◽  
Equilibrium Problems ◽  
Sufficient Conditions ◽  
Vector Equilibrium Problems ◽  
Solution Mapping ◽  
Scalarization Method ◽  
Set Valued Mappings ◽  
Vector Equilibrium ◽  
Weak Vector

AbstractIn this paper, using a scalarization method, we obtain sufficient conditions for the lower semicontinuity and continuity of the solution mapping to a parametric generalized weak vector equilibrium problem with set-valued mappings.

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.

scholarly journals Lower semicontinuity of solutions for order-perturbed parametric vector equilibrium problems

2016 ◽  
Vol 10 (1-2) ◽  
pp. 41-45
Author(s):  
Shunyou Xia ◽  
Shuwen Xiang ◽  
Yanlong Yang ◽  
Deping Xu
Keyword(s):  
Lower Semicontinuity ◽  
Equilibrium Problems ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium
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