J4 ›› 2012, Vol. 47 ›› Issue (10): 75-80.

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Optimality conditions for non-differentiable multi-objective programming in terms of convexificators

TIAN Xue-quan1, XU Shu2   

  1. 1. College of Mathematics and Science, Chongqing University of Science and Technology, Chongqing 401331, China;
    2. The Department of Basic Education, Chongqing Police College, Chongqing 401331, China
  • Received:2011-01-10 Online:2012-11-20 Published:2012-10-26

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Abstract:

For a non-differentiable multi-objective programming (MP) problem with inequality constraints, the necessary conditions were established under generalized Slater constraint qualification and generalized linear independence constraint qualification in terms of the concept of convexificators, and the results were extended to the multiobjective optimization.

Key words:  efficient solution;generalized Slater constraint qualification; generalized linear independence constraint qualification; convexificator;necessary condition

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