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Duality on a nondifferentiable minimax fractional programming

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Abstract

We establish the necessary and sufficient optimality conditions on a nondifferentiable minimax fractional programming problem. Subsequently, applying the optimality conditions, we constitute two dual models: Mond-Weir type and Wolfe type. On these duality types, we prove three duality theorems—weak duality theorem, strong duality theorem, and strict converse duality theorem.

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Authors and Affiliations

  1. Chung Yuan Christian University, Chung-Li, Taiwan

    Hang-Chin Lai & Hui-Mei Chen

  2. Tsing Hua University, Hsinchu, Taiwan

    Hang-Chin Lai

Authors
  1. Hang-Chin Lai
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  2. Hui-Mei Chen
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Correspondence to Hang-Chin Lai.

Additional information

The research is partly supported by National Science Council, Taiwan.

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Lai, HC., Chen, HM. Duality on a nondifferentiable minimax fractional programming. J Glob Optim 54, 295–306 (2012). https://doi.org/10.1007/s10898-010-9631-8

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  • DOI: https://doi.org/10.1007/s10898-010-9631-8

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