Optimality conditions for vector equilibrium problems in normed spaces

Optimization ◽  
2011 ◽  
Vol 60 (12) ◽  
pp. 1441-1455 ◽  
Author(s):  
Bo Chang Ma ◽  
Xun Hua Gong
Keyword(s):  
Optimality Conditions ◽  
Equilibrium Problems ◽  
Vector Equilibrium Problems ◽  
Normed Spaces ◽  
Vector Equilibrium

Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems

2019 ◽  
Vol 36 (04) ◽  
pp. 1950021
Author(s):  
Tijani Amahroq ◽  
Abdessamad Oussarhan
Keyword(s):  
Optimality Conditions ◽  
Lagrange Multiplier ◽  
Equilibrium Problems ◽  
Optimization Problems ◽  
Set Optimization ◽  
Vector Equilibrium Problems ◽  
Multiplier Rules ◽  
Convexity Assumption ◽  
Vector Equilibrium ◽  
Weak Vector

Optimality conditions are established in terms of Lagrange–Fritz–John multipliers as well as Lagrange–Kuhn–Tucker multipliers for set optimization problems (without any convexity assumption) by using new scalarization techniques. Additionally, we indicate how these results may be applied to some particular weak vector equilibrium problems.

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