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 引用本文: 史小波，高英. 拟凸函数的近似次微分及其在多目标优化问题中的应用 [J]. 应用数学和力学，2022，43（3）：322-329
SHI Xiaobo, GAO Ying. Properties of Quasiconvex Functions and Their Applications in Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2022, 43(3): 322-329. doi: 10.21656/1000-0887.420275
 Citation: SHI Xiaobo, GAO Ying. Properties of Quasiconvex Functions and Their Applications in Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2022, 43(3): 322-329.

拟凸函数的近似次微分及其在多目标优化问题中的应用

doi: 10.21656/1000-0887.420275

作者简介:史小波(1997—)，女，硕士生(E-mail：sxb792663@163.com)高英(1982—)，女，教授，博士，硕士生导师(通讯作者. E-mail：gaoying@cqnu.edu.cn)
• 中图分类号: O221.6

Properties of Quasiconvex Functions and Their Applications in Multiobjective Optimization Problems

• 摘要:

针对拟凸函数提出一类新的近似次微分，研究其性质，并将近似次微分应用到拟凸多目标优化问题近似解的刻画中。首先，对已有的近似次微分进行改进，得到拟凸函数新的近似次微分，并给出其与已有次微分之间的关系及一系列性质。随后，利用新的近似次微分给出拟凸多目标优化问题近似有效解、近似真有效解的最优性条件。

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出版历程
• 收稿日期:  2021-09-09
• 录用日期:  2021-10-28
• 修回日期:  2021-09-23
• 网络出版日期:  2022-02-12
• 刊出日期:  2022-03-08

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