## 留言板

 引用本文: 李飞. 可变序结构下向量优化中的一个新非线性标量化函数及其应用[J]. 应用数学和力学, 2020, 41(3): 329-338.
LI Fei. A New Nonlinear Scalarization Function and Its Applications in Vector Optimization With Variable Ordering Structures[J]. Applied Mathematics and Mechanics, 2020, 41(3): 329-338. doi: 10.21656/1000-0887.400262
 Citation: LI Fei. A New Nonlinear Scalarization Function and Its Applications in Vector Optimization With Variable Ordering Structures[J]. Applied Mathematics and Mechanics, 2020, 41(3): 329-338.

## 可变序结构下向量优化中的一个新非线性标量化函数及其应用

##### doi: 10.21656/1000-0887.400262

###### 作者简介:李飞(1981—)，男，讲师，博士(E-mail: lifeimath@163.com).
• 中图分类号: O221.6

## A New Nonlinear Scalarization Function and Its Applications in Vector Optimization With Variable Ordering Structures

Funds: The National Natural Science Foundation of China(11431004;11601248)
• 摘要: 在具有可变序结构的一般拓扑向量空间中定义了一个新的非线性标量化函数,讨论了该函数的主要性质.同时作为应用,通过该函数构造出了一族半范数和一类赋范线性空间,并在最后建立了该非线性标量化函数和半范数的上、下半连续性结论.
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##### 出版历程
• 收稿日期:  2019-09-04
• 修回日期:  2019-09-24
• 刊出日期:  2020-03-01

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