{"id":"https://openalex.org/W7204225004","doi":"https://doi.org/10.13140/rg.2.2.27066.76480","title":"Reducing the Lipschitz Constant in Tseng Algorithm and the Convergence Analysis","display_name":"Reducing the Lipschitz Constant in Tseng Algorithm and the Convergence Analysis","publication_year":2026,"publication_date":"2026-08-26","ids":{"openalex":"https://openalex.org/W7204225004","doi":"https://doi.org/10.13140/rg.2.2.27066.76480"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.29552","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29552","pdf_url":"https://arxiv.org/pdf/2609.29552","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.29552","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013105305","display_name":"Ba Khiet Le","orcid":"https://orcid.org/0000-0003-3894-4173","observed_orcids":["https://orcid.org/0000-0003-3894-4173","https://orcid.org/0000-0002-2817-2088"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ba Khiet Le","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148211669","display_name":"Minh Thuan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Minh Thuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148401473","display_name":"Tien Pham","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tien Pham","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5148233596","display_name":"Kim Thuong Vo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kim Thuong Vo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9945999979972839,"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":0.9945999979972839,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.000699999975040555,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/weak-convergence","display_name":"weak convergence","score":0.6430000066757202},{"id":"https://openalex.org/keywords/linear-convergence","display_name":"linear convergence","score":0.9900000095367432},{"id":"https://openalex.org/keywords/monotone-inclusions","display_name":"monotone inclusion problems","score":0.6639999747276306},{"id":"https://openalex.org/keywords/non-monotone-operators","display_name":"non-monotone operators","score":0.8080000281333923},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"decomposition method","score":0.4790000021457672},{"id":"https://openalex.org/keywords/big-data-optimization","display_name":"big data optimization","score":0.7910000085830688}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5651999711990356},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5648000240325928},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5559999942779541},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5449000000953674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5034000277519226},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4560999870300293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31929999589920044},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31119999289512634},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.26100000739097595}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2609.29552","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29552","pdf_url":"https://arxiv.org/pdf/2609.29552","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.29552","doi":"https://doi.org/10.48550/arxiv.2609.29552","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.29552","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.13140/rg.2.2.27066.76480","doi":"https://doi.org/10.13140/rg.2.2.27066.76480","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.2.27066.76480","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.29552","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29552","pdf_url":"https://arxiv.org/pdf/2609.29552","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204225004.pdf","grobid_xml":"https://content.openalex.org/works/W7204225004.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2942436572","https://openalex.org/W7159793792","https://openalex.org/W2890945080","https://openalex.org/W4405970994","https://openalex.org/W2804781295","https://openalex.org/W7214168964","https://openalex.org/W4417452917","https://openalex.org/W4312181021","https://openalex.org/W3134660374","https://openalex.org/W4401251532"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"prove":[4],"the":[5,15,34,37,53,67],"weak":[6],"and":[7,50],"linear":[8],"convergence":[9],"of":[10,17,19,39],"Tseng":[11],"algorithm":[12],"applied":[13],"to":[14,46],"zero":[16],"sum":[18],"two":[20],"operators":[21],"problem":[22],"where":[23],"each":[24],"operator":[25],"is":[26,58],"not":[27],"necessarily":[28],"monotone":[29],"while":[30],"existing":[31],"researches":[32],"in":[33,61],"literature":[35],"require":[36],"monotonicity":[38],"both":[40],"operators.":[41],"Consequently":[42],"it":[43],"allows":[44],"us":[45],"decompose":[47],"more":[48],"efficiently":[49],"can":[51],"reduce":[52],"Lipschitz":[54],"constant":[55],"significantly,":[56],"which":[57],"meaningful":[59],"especially":[60],"big":[62],"data.":[63],"Numerical":[64],"examples":[65],"supporting":[66],"theoretical":[68],"results":[69],"are":[70],"also":[71],"provided.":[72]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-27T00:00:00"}
