Zobrazit v EDS

OPERATOR SPLITTING SCHEMES THROUGH A REGULARIZATION APPROACH

Uloženo v:
Podrobná bibliografie
Název: OPERATOR SPLITTING SCHEMES THROUGH A REGULARIZATION APPROACH
Autoři: Moudafi, Abdellatif
Přispěvatelé: MOUDAFI, Abdellatif
Informace o vydavateli: 2024.
Rok vydání: 2024
Témata: Forward-backward splitting algorithm, Halpern's iteration, Monotone operator, Sum, Krasnoselskii algorithm, [MATH] Mathematics [math], Resolvent, Reflected resolvent, Composition
Popis: We propose a new algorithm for finding a zero of the sum of two monotone operators. It works by only requiring the evaluation of the resolvents of each of the operators individually, rather than the resolvent of their sum. We leverage then the connection with a co-coerciveness related operator, obtained by the sum and composition of Yosida regularization and reflected resolvents of the involved operators, to derive both a weak and a strong convergence results. The latter are provided by means of Krasnoselskii and Halpern celebrated classical Theorems.
Druh dokumentu: Article
Popis souboru: application/pdf
Jazyk: English
Přístupová URL adresa: https://amu.hal.science/hal-04211397v1
Přístupové číslo: edsair.dedup.wf.002..5c99bc03f47c33883f3b8e4f111b2fa0
Databáze: OpenAIRE
Popis
Abstrakt:We propose a new algorithm for finding a zero of the sum of two monotone operators. It works by only requiring the evaluation of the resolvents of each of the operators individually, rather than the resolvent of their sum. We leverage then the connection with a co-coerciveness related operator, obtained by the sum and composition of Yosida regularization and reflected resolvents of the involved operators, to derive both a weak and a strong convergence results. The latter are provided by means of Krasnoselskii and Halpern celebrated classical Theorems.