Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (1): 305-320.

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Approximate Farkas Lemma and Approximate Duality for Fractional Optimization Problems

Feifei Xie(),Donghui Fang*()   

  1. College of Mathematics and Statistics, Jishou University, Hunan Jishou 416000
  • Revised:2022-09-20 Online:2023-02-26 Published:2023-03-07
  • Supported by:
    The NSFC(12261037);The NSFC(11861033);Natural Science Foundation of Hunan Province(2020JJ4494);Scientific Research Fund of Jishou University(Jdy20064)


By using the infimal convolution of conjugate functions and the epigraph technique, we introduce some new constraint qualifications. Under those new constraint qualifications, approximate Farkas lemmas and approximate duality results of the fractional optimization problem with conic constraint are established, which extend the corresponding results in the previous papers.

Key words: Fractional optimization problem, Constraint qualification, Approximate Farkas lemma, Approximate duality

CLC Number: 

  • O221.2