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

2020应用数学和力学Engineering被引 1开放获取

摘要

In a topological vector space with variable ordering structures, a new nonlinear scalarization function was defined and its main properties were discussed. Meanwhile a family of semi-norms and a class of related normed linear spaces were constructed with this nonlinear scalarization function. Also the conclusions about upper, lower semi-continuity of this nonlinear scalarization function and the semi-norm function was established.

引用本文（GB/T 7714）

LI Fei, LI Fei. 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.

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DOI：https://doi.org/10.21656/1000-0887.400262

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