scholarly journals Second-order duality for the variational problems

2003 ◽  
Vol 286 (1) ◽  
pp. 261-270 ◽  
Author(s):  
Xiuhong Chen
Keyword(s):  
Variational Problems ◽  
Second Order ◽  
Second Order Duality

Second order duality for variational problems involving generalized convexity

OPSEARCH ◽  
2014 ◽  
Vol 52 (3) ◽  
pp. 582-596 ◽  
Author(s):  
Anurag Jayswal ◽  
I. M. Stancu-Minasian ◽  
Sarita Choudhury
Keyword(s):  
Generalized Convexity ◽  
Variational Problems ◽  
Second Order ◽  
Second Order Duality

Duality of variational problems with a new approach

2018 ◽  
Vol 52 (1) ◽  
pp. 79-93
Author(s):  
S.K. Padhan
Keyword(s):  
Research Work ◽  
Variational Problems ◽  
Second Order ◽  
Third Order ◽  
New Approach ◽  
Dual Problems ◽  
Duality Results ◽  
The Third ◽  
Second Order Duality

The present investigation introduces the third order duality in variational problems, as because, in certain situations, first and second order duality do not yield solutions but it succeeds in finding the desired results. The duality results for the pair of variational primal problems and their corresponding third order dual problems are demonstrated. Counterexamples are provided to justify the importance of the current research work. It is found that many reported results of the literature are particular cases of this paper.

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