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Higher-Order Non-Symmetric Duality for Nondifferentiable Minimax Fractional Programs with Square Root Terms

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Abstract

In this paper, we emphasize on a nondifferentiable minimax fractional programming (NMFP) problem and obtain appropriate duality results for higher-order dual model under higher-order B-(p,r)-invex functions. We provide a nontrivial illustration of a function which belongs to the class of higher-order B-(p,r)-invex but not in the class of second-order B-(p,r)-invex functions already existing in literature. An example of finding a minimax solution of NMFP problem by using higher-order B-(p,r)-invex functions has also been given. Various known results are discussed as particular cases.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India

    Sonali, Vikas Sharma & Navdeep Kailey

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  1. Sonali
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  2. Vikas Sharma
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  3. Navdeep Kailey
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Correspondence to Navdeep Kailey.

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Sonali, Sharma, V. & Kailey, N. Higher-Order Non-Symmetric Duality for Nondifferentiable Minimax Fractional Programs with Square Root Terms. Acta Math Sci 40, 127–140 (2020). https://doi.org/10.1007/s10473-020-0109-9

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  • DOI: https://doi.org/10.1007/s10473-020-0109-9

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