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.

中文翻译：

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Hadamard空间中单调关系的Fitzpatrick变换

摘要 本文研究了从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。证明了一类特殊的单调关系的Fitzpatrick变换是适当的、凸的和下半连续的。最后给出了单调关系的表示结果。