Necessary Efficiency Conditions for Vector Equilibrium Problems with General Inequality Constraints via Convexificators

2018 ◽  
Vol 50 (3) ◽  
pp. 685-704 ◽  
Author(s):  
Do Van Luu
Keyword(s):  
Equilibrium Problems ◽  
Inequality Constraints ◽  
Vector Equilibrium Problems ◽  
General Inequality ◽  
Vector Equilibrium ◽  
Efficiency Conditions

Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints

2018 ◽  
Vol 52 (2) ◽  
pp. 543-559 ◽  
Author(s):  
Do Van Luu ◽  
Tran Van Su
Keyword(s):  
Equilibrium Problems ◽  
Necessary Conditions ◽  
Constraint Qualifications ◽  
Efficient Solutions ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium ◽  
Efficiency Conditions

We establish Fritz John necessary conditions for local weak efficient solutions of vector equilibrium problems with constraints in terms of contingent derivatives. Under suitable constraint qualifications, Karush–Kuhn–Tucker necessary conditions for those solutions are investigated.

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