集值映射的上、下方向导数集和微分

IF 0.6 Q3 MATHEMATICS

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki Pub Date : 2022-09-01 DOI:10.35634/vm220304

Nihal Ege, A. Huseyin, N. Huseyin

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引用次数: 0

摘要

本文研究了给定集值映射的方向导数集和微分。给出了方向导数集与集值映射的微分之间的不同类型关系。证明了下导数集的每一个紧子集都可用于给定集值映射的下逼近。对若干平面集的上下偶然锥进行了计算和比较。

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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Upper and lower directional derivative sets and differentials of the set valued maps

In this paper directional derivative sets and differentials of a given set valued map are studied. Different type relations between directional derivative sets and differentials of a set valued map are specified. It is established that every compact subset of lower derivative set can be used for lower approximation of given set valued map. Upper and lower contingent cones of some plane sets are calculated and compared.

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来源期刊

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki MATHEMATICS-

CiteScore

1.20

自引率

40.00%

发文量