Hadamard空间单调关系的Fitzpatrick变换

Pub Date : 2020-07-01 DOI:10.2478/auom-2020-0026

A. Moslemipour, M. Roohi, M. Mardanbeigi, Mahdi Azhini

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引用次数: 2

摘要

摘要本文研究了Hadamard空间到其线性对偶空间的单调关系和极大单调关系。介绍了Hadamard空间中单调关系的Fitzpatrick变换。证明了一类特殊单调关系的Fitzpatrick变换是固有的、凸的和下半连续的。最后给出了单调关系的一个表示结果。

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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Fitzpatrick transform of monotone relations in Hadamard spaces

Abstract In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform of monotone relations in Hadamard spaces is introduced. It is shown that Fitzpatrick transform of a special class of monotone relations is proper, convex and lower semi-continuous. Finally, a representation result for monotone relations is given.

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