Journal of Jishou University(Natural Sciences Edition)

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Optimality Condition for Fractional Optimization Problem

TIAN Chaosong, WANG Xianyun   

  1. (College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
  • Online:2020-01-25 Published:2020-01-19


In this paper, the fractional optimization problem is turned into a constraint optimization problem with Dinkelbach method. With the properties of subdifferentials, some new constraint qualifications are introduced and some sufficient and necessary local/global optimality conditions for the constrained fractional programming problem are obtained.

Key words: fractional programming, constraint qualification, optimality condition

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