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Nondifferentiable Second-Order Symmetric Duality

Author

Listed:
  • I. AHMAD

    (Department of Mathematics, Aligarh Muslim University, Aligarh -202 002, India)

  • Z. HUSAIN

    (Department of Mathematics, Aligarh Muslim University, Aligarh -202 002, India)

Abstract

A pair of Mond–Weir type nondifferentiable second-order symmetric primal and dual problems in mathematical programming is formulated. Weak duality, strong duality, and converse duality theorems are established under η-pseudobonvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. Moreover, the self duality theorem is also discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:apjorx:v:22:y:2005:i:01:n:s0217595905000406
    DOI: 10.1142/S0217595905000406
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    Cited by:

    1. 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.
    2. C. Zălinescu, 2016. "On Second-Order Generalized Convexity," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 802-829, March.

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