The DOI matches its Crossref record.
Solving monotone inclusions via compositions of nonexpansive averaged operators
Abstract
A unified fixed point theoretic framework is proposed to investigate the asymptotic behavior of algorithms for finding solutions to monotone inclusion problems. The basic iterative scheme under consideration involves nonstationary compositions of perturbed averaged nonexpansive operators. The analysis covers proximal methods for common zero problems as well as for various splitting methods for finding a zero of the sum of monotone operators.
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Cited by
Parikh, N., & Boyd, S. (2014) · Foundations and Trends® in Optimization · doi:10.1561/2400000003 · Cited by 4,102
Metadata
- Authors
- Combettes *, P. L.
- Venue
- Optimization
- Publisher
- Informa UK Limited
- Published
- 2004-10
- Volume
- 53
- Issue
- 5-6
- Pages
- 475-504
- ISSN
- 0233-1934 (ISSN-L)
- 1029-4945
- OpenAlex
- W2074214991
- Cited by
- 457
- References
- 0
- FWCI
- 6.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Solving monotone inclusions via compositions of nonexpansive averaged operators. https://app.cochat.ai/papers/10.1080/02331930412331327157
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- Combettes *, P. L. (2004). Solving monotone inclusions via compositions of nonexpansive averaged operators. Optimization. https://doi.org/10.1080/02331930412331327157
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
