<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Fitzpatrick transform of monotone relations in Hadamard spaces

Department of Mathematics, Science and Research Branch

Department of Mathematics, Faculty of Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Fitzpatrick transform of monotone relations in Hadamard spaces"}

In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform...

Fitzpatrick transform of monotone relations in Hadamard spaces

Published Online: Sep 22, 2020

Page range: 173 - 193

Received: Sep 14, 2019

Accepted: Nov 22, 2019

DOI: https://doi.org/10.2478/auom-2020-0026

Keywords
Monotone relations, Hadamard spaces, flat Hadamard spaces, ℝ-tree space, Fitzpatrick transform

© 2020 A. Moslemipour et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fitzpatrick transform of monotone relations in Hadamard spaces

Published Online: Sep 22, 2020

Page range: 173 - 193

Received: Sep 14, 2019

Accepted: Nov 22, 2019

DOI: https://doi.org/10.2478/auom-2020-0026

KeywordsMonotone relations, Hadamard spaces, flat Hadamard spaces, ℝ-tree space, Fitzpatrick transform

© 2020 A. Moslemipour et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Monotone relations, Hadamard spaces, flat Hadamard spaces, ℝ-tree space, Fitzpatrick transform