{"id":"https://openalex.org/W4417293191","doi":"https://doi.org/10.1007/s10589-025-00744-2","title":"Quantitative results for a Tseng-type primal-dual method for composite monotone inclusions","display_name":"Quantitative results for a Tseng-type primal-dual method for composite monotone inclusions","publication_year":2025,"publication_date":"2025-12-13","ids":{"openalex":"https://openalex.org/W4417293191","doi":"https://doi.org/10.1007/s10589-025-00744-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-025-00744-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00744-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00744-2.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00744-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003647373","display_name":"Ulrich Kohlenbach","orcid":"https://orcid.org/0000-0002-4925-3506"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ulrich Kohlenbach","raw_affiliation_strings":["Department of Mathematics, Technische Universit\u00e4t Darmstadt, Schossgartenstra\u00dfe 7, 64289, Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technische Universit\u00e4t Darmstadt, Schossgartenstra\u00dfe 7, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091323905","display_name":"Nicholas Pischke","orcid":"https://orcid.org/0000-0003-1243-6787"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nicholas Pischke","raw_affiliation_strings":["Department of Mathematics, Technische Universit\u00e4t Darmstadt, Schossgartenstra\u00dfe 7, 64289, Darmstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1243-6787","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technische Universit\u00e4t Darmstadt, Schossgartenstra\u00dfe 7, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003647373"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37720841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"3","first_page":"1191","last_page":"1223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.7926999926567078,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.7926999926567078,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.12540000677108765,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.030400000512599945,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7588000297546387},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5030999779701233},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.48030000925064087},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47380000352859497},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"Operator splitting","score":0.3343000113964081},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.3174000084400177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8998000025749207},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7588000297546387},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5030999779701233},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.48030000925064087},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47380000352859497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43549999594688416},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34360000491142273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3382999897003174},{"id":"https://openalex.org/C2987355758","wikidata":"https://www.wikidata.org/wiki/Q25037251","display_name":"Operator splitting","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.3174000084400177},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3059999942779541},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2538999915122986}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-025-00744-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00744-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00744-2.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:econstor.eu:10419/338595","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/338595","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:article"}],"best_oa_location":{"id":"doi:10.1007/s10589-025-00744-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00744-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00744-2.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323384","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4417293191.pdf","grobid_xml":"https://content.openalex.org/works/W4417293191.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W647913949","https://openalex.org/W2007437458","https://openalex.org/W2040673954","https://openalex.org/W2055467852","https://openalex.org/W2056578325","https://openalex.org/W2086045987","https://openalex.org/W2094903916","https://openalex.org/W2112642314","https://openalex.org/W2114423093","https://openalex.org/W2278644336","https://openalex.org/W2962941654","https://openalex.org/W2963098769","https://openalex.org/W2963798168","https://openalex.org/W2972486801","https://openalex.org/W4231629838"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1],"provide":[2],"quantitative":[3,42],"results":[4,43],"on":[5,44],"a":[6,23,45],"seminal":[7],"Tseng-type":[8],"primal-dual":[9],"splitting":[10,50],"algorithm":[11,51],"for":[12],"solving":[13],"monotone":[14],"inclusions":[15],"due":[16],"to":[17,66],"Combettes":[18,71],"and":[19,29,34,55,64,72],"Pesquet":[20,73],"which":[21,67],"involves":[22],"mixture":[24],"of":[25,32,47,62,70],"sums,":[26],"linear":[27],"compositions":[28],"parallel":[30],"sums":[31],"set-valued":[33],"Lipschitzian":[35],"operators.":[36],"For":[37],"that,":[38],"we":[39],"first":[40],"give":[41],"version":[46],"Tseng\u2019s":[48],"forward-backward-forward":[49],"including":[52],"error":[53],"terms":[54],"variable":[56],"parameters,":[57],"partially":[58],"extending":[59],"previous":[60],"work":[61],"Treusch":[63],"Kohlenbach,":[65],"the":[68],"method":[69],"is":[74],"then":[75],"reduced.":[76]},"counts_by_year":[],"updated_date":"2026-03-13T14:20:09.374765","created_date":"2025-12-13T00:00:00"}