First and second-order optimality conditions without differentiability in multivalued vector optimization

Positivity ◽  
2015 ◽  
Vol 19 (4) ◽  
pp. 817-841 ◽  
Author(s):  
Phan Quoc Khanh ◽  
Nguyen Minh Tung
Keyword(s):  
Optimality Conditions ◽  
Vector Optimization ◽  
Second Order ◽  
Second Order Optimality Conditions

scholarly journals On generalized derivatives forC1,1vector optimization problems

2003 ◽  
Vol 2003 (7) ◽  
pp. 365-376 ◽  
Author(s):  
Davide La Torre
Keyword(s):  
Optimality Conditions ◽  
Vector Optimization ◽  
Optimization Problems ◽  
Second Order ◽  
Clarke Subdifferential ◽  
Vector Optimization Problems ◽  
Directional Derivatives ◽  
Generalized Derivatives ◽  
Second Order Optimality Conditions

We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involvingC1,1data. We show that these conditions are stronger than those in literature obtained by means of second-order Clarke subdifferential.

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