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Higher-Order Duality in Nondifferentiable Minimax Programming with Generalized Type I Functions

Author

Listed:
  • I. Ahmad

    (Aligarh Muslim University)

  • Z. Husain

    (Aligarh Muslim University)

  • S. Sharma

    (Aligarh Muslim University)

Abstract

A unified higher-order dual for a nondifferentiable minimax programming problem is formulated. Weak, strong and strict converse duality theorems are discussed involving generalized higher-order (F,α,ρ,d)-Type I functions.

Suggested Citation

  • I. Ahmad & Z. Husain & S. Sharma, 2009. "Higher-Order Duality in Nondifferentiable Minimax Programming with Generalized Type I Functions," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 1-12, April.
    • Handle: RePEc:spr:joptap:v:141:y:2009:i:1:d:10.1007_s10957-008-9474-3
    DOI: 10.1007/s10957-008-9474-3
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    References listed on IDEAS

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    1. I. Ahmad & Z. Husain, 2006. "Optimality Conditions and Duality in Nondifferentiable Minimax Fractional Programming with Generalized Convexity," Journal of Optimization Theory and Applications, Springer, vol. 129(2), pages 255-275, May.
    2. D. H. Yuan & X. L. Liu & A. Chinchuluun & P. M. Pardalos, 2006. "Nondifferentiable Minimax Fractional Programming Problems with (C, α, ρ, d)-Convexity," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 185-199, April.
    3. S. K. Mishra & N. G. Rueda, 2006. "Second-Order Duality for Nondifferentiable Minimax Programming Involving Generalized Type I Functions," Journal of Optimization Theory and Applications, Springer, vol. 130(3), pages 479-488, September.
    4. Z. A. Liang & H. X. Huang & P. M. Pardalos, 2001. "Optimality Conditions and Duality for a Class of Nonlinear Fractional Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 611-619, September.
    5. Husain, I. & Hanson, Morgan A. & Jabeen, Z., 2005. "On nondifferentiable fractional minimax programming," European Journal of Operational Research, Elsevier, vol. 160(1), pages 202-217, January.
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    Cited by:

    1. Anurag Jayswal & Ashish Kumar Prasad & Krishna Kummari, 2013. "Nondifferentiable Minimax Programming Problems in Complex Spaces Involving Generalized Convex Functions," Journal of Optimization, Hindawi, vol. 2013, pages 1-12, December.

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