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Third order duality in nonlinear programming problems

Author

Listed:
  • S. K. Padhan

    (Veer Surendra Sai University of Technology Burla)

  • C. Nahak

    (Indian Institute of Technology Kharagpur)

Abstract

Third order dual of a primal nonlinear programming problem is established which involves the third order derivatives of the functions constituting the primal problem. Desired duality theorems are provided for the pair of primal and the corresponding third order dual problem. Numerical examples are illustrated to justify the efficiency of the proposed method. It is also observed that some of the existing results are obtained as special cases.

Suggested Citation

  • S. K. Padhan & C. Nahak, 2017. "Third order duality in nonlinear programming problems," 4OR, Springer, vol. 15(1), pages 93-105, March.
    • Handle: RePEc:spr:aqjoor:v:15:y:2017:i:1:d:10.1007_s10288-016-0326-y
    DOI: 10.1007/s10288-016-0326-y
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    References listed on IDEAS

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    1. S.K. Padhan & C. Nahak, 2013. "Second- and higher-order generalised invexity and duality in mathematical programming," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(2), pages 170-182.
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