Second-Order Symmetric Duality in Variational Control Problems Over Cone Constraints

Anurag Jayswal, Shalini Jha (), Ashish Kumar Prasad () and Izhar Ahmad ()
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Anurag Jayswal: Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad 826 004, Jharkhand, India
Shalini Jha: Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad 826 004, Jharkhand, India
Ashish Kumar Prasad: Department of Mathematics, National Institute of Technology, Jamshedpur 831 014, Jharkhand, India
Izhar Ahmad: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Asia-Pacific Journal of Operational Research (APJOR), 2018, vol. 35, issue 04, 1-19

Abstract: In the present paper, we introduce a pair of multiobjective second-order symmetric variational control programs over cone constraints and derive weak, strong and converse duality theorems under second-order F-convexity assumption. Moreover, self-duality theorem is also discussed. Our results extend some of the known results in literature.

Keywords: Multiobjective programming; variational control problems; second-order F-convexity; duality; efficient solutions (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0217595918500288

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