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

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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)

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.

Suggested Citation

  • Anurag Jayswal & Shalini Jha & Ashish Kumar Prasad & Izhar Ahmad, 2018. "Second-Order Symmetric Duality in Variational Control Problems Over Cone Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(04), pages 1-19, August.
    • Handle: RePEc:wsi:apjorx:v:35:y:2018:i:04:n:s0217595918500288
    DOI: 10.1142/S0217595918500288
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    References listed on IDEAS

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    1. I. Ahmad & Z. Husain, 2005. "Nondifferentiable Second-Order Symmetric Duality," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 19-31.
    2. Suneja, S. K. & Aggarwal, Sunila & Davar, Sonia, 2002. "Multiobjective symmetric duality involving cones," European Journal of Operational Research, Elsevier, vol. 141(3), pages 471-479, September.
    3. Suneja, S. K. & Lalitha, C. S. & Khurana, Seema, 2003. "Second order symmetric duality in multiobjective programming," European Journal of Operational Research, Elsevier, vol. 144(3), pages 492-500, February.
    4. Ahmad, I. & Husain, Z., 2007. "Minimax mixed integer symmetric duality for multiobjective variational problems," European Journal of Operational Research, Elsevier, vol. 177(1), pages 71-82, February.
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    Cited by:

    1. Najeeb Abdulaleem, 2021. "Mixed E-duality for E-differentiable Vector Optimization Problems Under (Generalized) V-E-invexity," SN Operations Research Forum, Springer, vol. 2(3), pages 1-18, September.

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