非光滑半无限多目标优化的高阶KKT最优性充分条件

曹琪; 冯敏

doi:10.21656/1000-0887.440245

非光滑半无限多目标优化的高阶KKT最优性充分条件

doi: 10.21656/1000-0887.440245

曹琪,
冯敏

重庆交通大学数学与统计学院，重庆 400074

基金项目:

国家自然科学基金 12201085

重庆市自然科学基金 CSTB2023NSCQ-MSX0332

详细信息

作者简介:
曹琪(1998—)，女，硕士生(E-mail: cq17345065200@126.com)

冯敏(1990—)，男，副教授，博士(E-mail: fengcqu13@126.com)

中图分类号: O221.6
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- 文章访问数: 63
- HTML全文浏览量: 24
- PDF下载量: 20
- 被引次数: 0
出版历程
- 收稿日期: 2023-08-17
- 修回日期: 2023-12-07
- 刊出日期: 2024-04-01

Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization

CAO Qi,
FENG Min

School of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P.R.China

摘要

摘要: 考虑了一类非光滑半无限多目标优化问题. 利用高阶Studniarski下导数，得到了问题的严格局部有效解的高阶弱KKT最优性充分条件. 进一步地，若假设该最优性条件中目标函数相关的乘子均大于零，则得到严格局部Borwein真有效解的高阶强KKT充分条件. 这些充分条件适用于处理无任何凸性假设下的问题.
- 半无限多目标优化 /
- 高阶Studniarski下导数 /
- 高阶KKT充分条件
Abstract: The nonsmooth semi-infinite multiobjective optimization problems were investigated. The higher-order weak KKT sufficient optimality conditions for strictly local efficient solutions were established in terms of higher-order lower Studniarski derivatives. Furthermore, under the assumption that all multipliers associated with objective functions are positive in optimality conditions, the higher-order strong KKT sufficient optimality conditions for strictly local Borwein-properly efficient solutions would be achieved. These sufficient optimality conditions were established without any convexity assumptions.
- semi-infinite multiobjective optimization /
- higher-order lower Studniarski derivative /
- higher-order KKT sufficient condition

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参考文献(18)

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文章访问数: 63
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非光滑半无限多目标优化的高阶KKT最优性充分条件

doi: 10.21656/1000-0887.440245

作者简介:
曹琪(1998—)，女，硕士生(E-mail: cq17345065200@126.com)

冯敏(1990—)，男，副教授，博士(E-mail: fengcqu13@126.com)

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Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization

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非光滑半无限多目标优化的高阶KKT最优性充分条件

doi: 10.21656/1000-0887.440245

作者简介: 曹琪(1998—)，女，硕士生(E-mail: cq17345065200@126.com) 冯敏(1990—)，男，副教授，博士(E-mail: fengcqu13@126.com)

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Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization

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出版历程

目录

作者简介:
曹琪(1998—)，女，硕士生(E-mail: cq17345065200@126.com)

冯敏(1990—)，男，副教授，博士(E-mail: fengcqu13@126.com)