集值映射的carathimodory可微性推广

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-05-31 DOI:10.1155/2021/5529796

Pedro Hurtado, Alexander Leones, M. Martelo, J. Moreno

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引用次数: 0

摘要

本文利用紧致凸集的Hukuhara差分的推广，将Caratheodory可微性的经典概念推广到多函数（集值映射）。利用Hukuhara差分和仿射多函数作为局部逼近，我们引入了多函数CH可微性的概念。最后，我们研究了Frechet可微性、Hukuhara可微性和CH可微性之间的关系。

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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An Extension of the Carathéodory Differentiability to Set-Valued Maps

This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Caratheodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local approximation, we introduce the notion of CH-differentiability for multifunctions. Finally, we tackle the study of the relation among the Frechet differentiability, Hukuhara differentiability, and CH-differentiability.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.