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

<p>In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality. Some applications in convex minimization and fixed point theory are also presented to support the main result.</p>
</abstract>

In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality. Some applications in convex minimization and fixed point theory are also presented to support the main result.

Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of...

Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

Published Online: Jul 08, 2021

Page range: 231 - 248

Received: Aug 26, 2020

Accepted: Sep 30, 2020

DOI: https://doi.org/10.2478/auom-2021-0028

Keywords
Hadamard space, Monotone operator, Inclusion problem, proximal point algorithm, Variational inequality, Strong convergence, Convex minimization

© 2021 Sajad Ranjbar, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

Published Online: Jul 08, 2021

Page range: 231 - 248

Received: Aug 26, 2020

Accepted: Sep 30, 2020

DOI: https://doi.org/10.2478/auom-2021-0028

KeywordsHadamard space, Monotone operator, Inclusion problem, proximal point algorithm, Variational inequality, Strong convergence, Convex minimization

© 2021 Sajad Ranjbar, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Hadamard space, Monotone operator, Inclusion problem, proximal point algorithm, Variational inequality, Strong convergence, Convex minimization