scholarly journals Sufficiency and mixed type duality for multiobjective variational control problems involving α-V-univexity

2017 ◽  
Vol 6 (1) ◽  
pp. 93-109
Author(s):  
Sarita Sharma ◽  
◽  
Anurag Jayswal ◽  
Sarita Choudhury ◽  
Keyword(s):  
Mixed Type ◽  
Control Problems ◽  
Mixed Type Duality

scholarly journals Mixed-type duality for multiobjective fractional variational control problems

2005 ◽  
Vol 2005 (1) ◽  
pp. 109-124 ◽  
Author(s):  
Raman Patel
Keyword(s):  
Nonlinear Programming ◽  
Convex Functions ◽  
Mixed Type ◽  
Efficient Solutions ◽  
Control Problems ◽  
Duality Results ◽  
Finite Dimensional ◽  
Duality Relations ◽  
Mixed Type Duality ◽  
Convexity Assumptions

The concept of mixed-type duality has been extended to the class of multiobjective fractional variational control problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are obtained forρ-convex (generalizedρ-convex) functions. The results generalize a number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions.

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