Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 505-510.

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Strict Efficiency in Vector Optimization with Ic-cone-convexlike Set-valued Functions

  

  1. Institute of Mathematics and Computer of Science, Yichun University

  • Received:2008-04-07 Online:2011-12-30 Published:2023-04-13
  • About author:YU Li(1980-), female, native of Fengcheng, Jiangxi, a lecturer of Yichun University, M.S.D., engages in set-valued optimization theory
  • Supported by:
    Supported by the National Natural Science Foundation of China(10461007)； Supported by the Natural Science Foundation of Jiangxi Province(0611081)；

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Abstract: An important property of ic-cone-convexlike set-valued functions is obtained in this paper. Under the assumption of ic-cone-convexlikeness, the scalarization theorem and the Lagrange multiplier theorem for strict efficient solution are derived, respectively.

Key words:  ic-cone-convexlikeness, strict efficiency, scalarization, Lagrangian multiplier theorem

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