scholarly journals Higher-Order Generalized Invexity and Duality in Mathematical Programming

2000 ◽  
Vol 247 (1) ◽  
pp. 173-182 ◽  
Author(s):  
Shashi K. Mishra ◽  
Norma G. Rueda
Keyword(s):  
Mathematical Programming ◽  
Higher Order ◽  
Generalized Invexity

scholarly journals Higher-Order Generalized Invexity in Control Problems

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
S. K. Padhan ◽  
C. Nahak
Keyword(s):  
Control Problem ◽  
Strong Duality ◽  
Higher Order ◽  
Control Problems ◽  
Weak Duality ◽  
Converse Duality ◽  
Generalized Invexity ◽  
Duality Results ◽  
Higher Order Duality

We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems, higher-order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems. Also, we establish few examples in support of our investigation.

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