OPERATOR SPLITTING SCHEMES THROUGH A REGULARIZATION APPROACH
Overview & Synopsis
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.
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Document Information
| Document Title | OPERATOR SPLITTING SCHEMES THROUGH A REGULARIZATION APPROACH |
|---|---|
| Author / Organization | Abdellatif Moudafi |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2024 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-67861 |
| Original Source Link | Visit Source Page on hal.science » |