Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (5): 842-854.

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The Farkas Lemmas for Fractional Optimization Problem with Composite Functions

Donghui Fang*(),Weilin Liu()   

  1. College of Mathematics and Statistics, Jishou University, Hunan Jishou 416000
  • Received:2017-07-25 Online:2018-11-09 Published:2018-11-09
  • Contact: Donghui Fang E-mail:dh_fang@jsu.edu.cn;761481687@qq.com
  • Supported by:
    the NSFC(11461047);the Hunan Provincial National Natural Science Foundation of China(2016JJ2099);the Scientific Research Fund of Hunan Provincial Education Department(17A172)

Abstract:

In this paper, the fractional optimization problem with composite functions is turned into a constraint optimization problem by using the previous method. By introducing some news constraint qualifications, some duality results for the constraint optimization problem are established and some Farkas type lemmas for the fractional optimization problem with composite functions are then given.

Key words: Fractional optimization problem, Composite function, Constraint qualification, Frakas lemma

CLC Number: 

  • O221.2
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