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Generalized Second‐Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming

Author

Listed:
  • Ravi P. Agarwal
  • Izhar Ahmad
  • S. K. Gupta
  • N. Kailey

Abstract

This paper is concerned with a pair of second‐order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second‐order F‐convexity/pseudoconvexity assumptions.

Suggested Citation

  • Ravi P. Agarwal & Izhar Ahmad & S. K. Gupta & N. Kailey, 2011. "Generalized Second‐Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:103597
    DOI: 10.1155/2011/103597
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    References listed on IDEAS

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    1. M. S. Bazaraa & J. J. Goode, 1973. "On Symmetric Duality in Nonlinear Programming," Operations Research, INFORMS, vol. 21(1), pages 1-9, February.
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    Cited by:

    1. Shun-Chin Ho, 2013. "Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B‐(p, r)‐Invexity," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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