Continuity of approximate solution mappings for parametric equilibrium problems

2011 ◽  
Vol 51 (3) ◽  
pp. 541-548 ◽  
Author(s):  
X. B. Li ◽  
S. J. Li
Keyword(s):  
Approximate Solution ◽  
Equilibrium Problems ◽  
Parametric Equilibrium Problems

Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions

2015 ◽  
Vol 65 (5) ◽  
Author(s):  
Marcel Bogdan ◽  
Eduardo Pascali
Keyword(s):  
Equilibrium Problems ◽  
Sufficient Conditions ◽  
Limit Problem ◽  
Solution Map ◽  
Pseudomonotone Bifunction ◽  
Parametric Equilibrium Problems

AbstractClosedness of the solution map is investigated for a sequence of parametric inequality problems related to a “limit” problem governed by a pseudomonotone bifunction. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.

Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization

2019 ◽  
Vol 53 (4) ◽  
pp. 1245-1260
Author(s):  
Nguyen Le Hoang Anh
Keyword(s):  
Sensitivity Analysis ◽  
Equilibrium Problems ◽  
Second Order ◽  
Weak Perturbation ◽  
Parametric Equilibrium Problems ◽  
Perturbation Map ◽  
Derivatives Of

In the paper, we first establish relationships between second-order contingent derivatives of a given set-valued map and that of the weak perturbation map. Then, these results are applied to sensitivity analysis for parametric equilibrium problems in set-valued optimization.

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