scholarly journals Symmetric Duality for Multiobjective Variational Problems

1997 ◽  
Vol 210 (1) ◽  
pp. 22-38 ◽  
Author(s):  
T.R Gulati ◽  
I Husain ◽  
A Ahmed
Keyword(s):  
Variational Problems ◽  
Symmetric Duality ◽  
Multiobjective Variational Problems

scholarly journals Second-order symmetric duality in multiobjective variational problems

2019 ◽  
Vol 29 (3) ◽  
pp. 295-308
Author(s):  
Geeta Sachdev ◽  
Khushboo Verma ◽  
T.R. Gulati
Keyword(s):  
Variational Problems ◽  
Second Order ◽  
Static Case ◽  
Duality Theorems ◽  
Symmetric Duality ◽  
Converse Duality ◽  
Multiobjective Variational Problems ◽  
Second Order Symmetric Duality

In this work, we introduce a pair of multiobjective second-order symmetric dual variational problems. Weak, strong, and converse duality theorems for this pair are established under the assumption of ?-bonvexity/?-pseudobonvexity. At the end, the static case of our problems has also been discussed.

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