Second-Order Duality for Nondifferentiable Multiobjective Programming Problems

2007 ◽  
Vol 28 (9-10) ◽  
pp. 975-988 ◽  
Author(s):  
I. Ahmad ◽  
Sarita Sharma
Keyword(s):  
Multiobjective Programming ◽  
Second Order ◽  
Second Order Duality ◽  
Multiobjective Programming Problems

Second Order Duality for Multiobjective Programming involving (F,ρ,σ) - Type I Functions

OPSEARCH ◽  
2000 ◽  
Vol 37 (4) ◽  
pp. 316-326 ◽  
Author(s):  
Manjari K. Srivastava ◽  
Misha G. Govil
Keyword(s):  
Multiobjective Programming ◽  
Second Order ◽  
Type I ◽  
Second Order Duality

Second-order duality for nondifferentiable multiobjective programming involving (Φ,ρ)-univexity

1970 ◽  
Vol 7 (1) ◽  
pp. 92-104
Author(s):  
Ganesh Kumar Thakur ◽  
Bandana Priya
Keyword(s):  
Key Words ◽  
Duality Theorem ◽  
Multiobjective Programming ◽  
Second Order ◽  
Dual Model ◽  
Weak Duality ◽  
Support Functions ◽  
Second Order Duality ◽  
Multiobjective Programming Problem ◽  
Quasi Convexity

The concepts of (Φ, ρ)-invexity have been given by Carsiti,Ferrara and Stefanescu[32]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under appropriate second-order (Φ, ρ)-univexity conditions. AMS 2002 Subject Classification: 90C29; 90C30; 90C46. Key words: Second-order (Φ, ρ)-(pseudo/quasi)-convexity; multiobjective programming; second-order duality; duality theorem. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5426 KUSET 2011; 7(1): 92-104  

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