Hausdorff continuity of approximate solution maps to parametric primal and dual equilibrium problems

Top ◽  
2015 ◽  
Vol 24 (1) ◽  
pp. 242-258 ◽  
Author(s):  
Lam Quoc Anh ◽  
Tran Ngoc Tam
Keyword(s):  
Approximate Solution ◽  
Equilibrium Problems ◽  
Solution Maps ◽  
Hausdorff Continuity ◽  
Primal And Dual ◽  
Approximate Solution Maps

scholarly journals Continuity of approximate solution maps to vector equilibrium problems

2017 ◽  
Vol 13 (4) ◽  
pp. 1685-1699
Author(s):  
Lam Quoc Anh ◽  
◽  
Pham Thanh Duoc ◽  
Tran Ngoc Tam ◽  
◽  
...  
Keyword(s):  
Approximate Solution ◽  
Equilibrium Problems ◽  
Vector Equilibrium Problems ◽  
Solution Maps ◽  
Vector Equilibrium ◽  
Approximate Solution Maps

scholarly journals Existence and Duality of Generalized ε-Vector Equilibrium Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Hong-Yong Fu ◽  
Bin Dan ◽  
Xiang-Yu Liu
Keyword(s):  
Equilibrium Problem ◽  
Equilibrium Problems ◽  
Existence Theorems ◽  
Vector Equilibrium Problem ◽  
Vector Equilibrium Problems ◽  
Kkm Theorem ◽  
Special Cases ◽  
Primal And Dual Problems ◽  
Primal And Dual ◽  
Vector Equilibrium

We consider a generalized ε-vector equilibrium problem which contain vector equilibrium problems and vector variational inequalities as special cases. By using the KKM theorem, we obtain some existence theorems for the generalized ε-vector equilibrium problem. We also investigate the duality of this generalized ε-vector equilibrium problem and discuss the equivalence relation between solutions of primal and dual problems.

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