集值映射与集合标化函数复合的半连续性

Journal of Applied and Numerical Optimization Pub Date : 1900-01-01 DOI:10.23952/jano.1.2019.3.06

Mengxue Liu, Yuto Ogata, Tamaki Tanaka

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引用次数: 1

摘要

本文通过集合的一般尺度化处理集值映射的半连续性的继承问题，该问题被认为是Kuwano, Tanaka, and Yamada在2010年推广结果的框架。由于集合的统一标化函数满足一定的期望半连续性，我们的主要定理可以简化为前面研究的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Semicontinuity of the composition of set-valued map and scalarization function for sets

In this paper, we deal with the inheritation of the semicontinuity of set-valued maps via general scalarization for sets, which is regarded as the framework of generalizations of results by Kuwano, Tanaka, and Yamada in 2010. Since the unified scalarization functions for sets satisfy certain desired semicontinuity, our main theorems can be reduced to the results in earlier study.

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Journal of Applied and Numerical Optimization

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