Zeros of the Sum of a Finite Family of Maximal Monotone Operators

Abdallah Beddani () and Ali Berrailes ()
Additional contact information
Abdallah Beddani: Ahmed Zabana University-Relizane
Ali Berrailes: Ahmed Zabana University-Relizane

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 3, No 18, 15 pages

Abstract: Abstract In this paper, we present a method for finding the zeros of the sum of a finite family of maximal monotone operators on real Hilbert spaces. Moreover, we will investigate the existence and uniqueness of these solutions within the context of this inverse strong monotonicity. Additionally, we will present a selection of algorithms designed for each specific case.

Keywords: Maximal monotone operator; Yoshida approximation; Resolvent; Strong monotonicity; Inverse strong monotonicity; 47H05; 47H10; 47J25; 47H04 (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-025-02679-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:205:y:2025:i:3:d:10.1007_s10957-025-02679-4

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-025-02679-4

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().