On the Maximal Monotone Operators in Hadamard Spaces

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Détails bibliographiques
Auteurs principaux:	Moslemipour, Ali, Roohi, Mehdi, Yao, Jen-Chih
Format:	Preprint
Publié:	2021
Sujets:	Functional Analysis 47H05, 47H04
Accès en ligne:	Acceder al recurso
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author	Moslemipour, Ali Roohi, Mehdi Yao, Jen-Chih
author_facet	Moslemipour, Ali Roohi, Mehdi Yao, Jen-Chih
contents	In this paper, some topics of monotone operator theory in the setting of Hadamard spaces are investigated. For a fixed element $p$ in a Hadamard space $X$, the notion of $p$-Fenchel conjugate is introduced and a type of the Fenchel-Young inequality is proved. Moreover, we examine the $p$-Fitzpatrick transform and its main properties for monotone set-valued operators in Hadamard spaces. Furthermore, some relations between maximal monotone operators and certain classes of proper, convex, l.s.c. extended real-valued functions on $X\times X^{\scalebox{0.7}{$^{\lozenge}$}}$, are given.
format	Preprint
id	arxiv_https___arxiv_org_abs_2106_11085
institution	arXiv
publishDate	2021
record_format	arxiv
spellingShingle	On the Maximal Monotone Operators in Hadamard Spaces Moslemipour, Ali Roohi, Mehdi Yao, Jen-Chih Functional Analysis 47H05, 47H04 In this paper, some topics of monotone operator theory in the setting of Hadamard spaces are investigated. For a fixed element $p$ in a Hadamard space $X$, the notion of $p$-Fenchel conjugate is introduced and a type of the Fenchel-Young inequality is proved. Moreover, we examine the $p$-Fitzpatrick transform and its main properties for monotone set-valued operators in Hadamard spaces. Furthermore, some relations between maximal monotone operators and certain classes of proper, convex, l.s.c. extended real-valued functions on $X\times X^{\scalebox{0.7}{$^{\lozenge}$}}$, are given.
title	On the Maximal Monotone Operators in Hadamard Spaces
topic	Functional Analysis 47H05, 47H04
url	https://arxiv.org/abs/2106.11085

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