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Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming

Author

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  • Tone-Yau Huang

    (Department of Applied Mathematics, Feng-Chia University, Tai-Chung 40724, Taiwan)

Abstract

In this paper, we will consider a minimax fractional programming in complex spaces. Since a duality model in a programming problem plays an important role, we will establish the second-order Mond–Weir type and Wolfe type dual models, and derive the weak, strong, and strictly converse duality theorems.

Suggested Citation

  • Tone-Yau Huang, 2020. "Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming," Mathematics, MDPI, vol. 8(1), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:67-:d:304629
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    References listed on IDEAS

    as
    1. H. C. Lai & J. C. Liu & S. Schaible, 2008. "Complex Minimax Fractional Programming of Analytic Functions," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 171-184, April.
    2. Hang-Chin Lai & Tone-Yau Huang, 2012. "Nondifferentiable minimax fractional programming in complex spaces with parametric duality," Journal of Global Optimization, Springer, vol. 53(2), pages 243-254, June.
    3. Elena-Corina Cipu, 2019. "Duality Results in Quasiinvex Variational Control Problems with Curvilinear Integral Functionals," Mathematics, MDPI, vol. 7(9), pages 1-9, September.
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    Cited by:

    1. Wei-Shih Du & Chung-Chuan Chen & Marko Kostić & Bessem Samet, 2023. "Preface to the Special Issue “Fixed Point Theory and Dynamical Systems with Applications”," Mathematics, MDPI, vol. 11(13), pages 1-2, June.

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