<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

Data publikacji: 22 wrz 2020

Zakres stron: 173 - 193

Otrzymano: 14 wrz 2019

Przyjęty: 22 lis 2019

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

Słowa kluczowe
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

Data publikacji: 22 wrz 2020

Zakres stron: 173 - 193

Otrzymano: 14 wrz 2019

Przyjęty: 22 lis 2019

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

Słowa kluczoweMonotone 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.

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