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

scholarly journals On Second-Order Duality for Minimax Fractional Programming Problems with Generalized Convexity

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Izhar Ahmad
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Second Order ◽  
Fractional Programming Problem ◽  
Second Order Duality ◽  
Minimax Fractional Programming ◽  
Dual Models

We focus our study on a discussion of duality relationships of a minimax fractional programming problem with its two types of second-order dual models under the second-order generalized convexity type assumptions. Results obtained in this paper naturally unify and extend some previously known results on minimax fractional programming in the literature.

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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