Lipschitz continuity of an approximate solution mapping for parametric set-valued vector equilibrium problems

Optimization ◽  
2015 ◽  
Vol 65 (5) ◽  
pp. 1003-1021 ◽  
Author(s):  
I. Sadeqi ◽  
M. Salehi Paydar
Keyword(s):  
Approximate Solution ◽  
Equilibrium Problems ◽  
Lipschitz Continuity ◽  
Vector Equilibrium Problems ◽  
Solution Mapping ◽  
Vector Equilibrium ◽  
Approximate Solution Mapping

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.

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