{"id":"https://openalex.org/W4388424166","doi":"https://doi.org/10.3390/axioms12111037","title":"A Regularized Tseng Method for Solving Various Variational Inclusion Problems and Its Application to a Statistical Learning Model","display_name":"A Regularized Tseng Method for Solving Various Variational Inclusion Problems and Its Application to a Statistical Learning Model","publication_year":2023,"publication_date":"2023-11-06","ids":{"openalex":"https://openalex.org/W4388424166","doi":"https://doi.org/10.3390/axioms12111037"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12111037","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111037","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1037/pdf?version=1699273351","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/11/1037/pdf?version=1699273351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084271275","display_name":"Adeolu Taiwo","orcid":"https://orcid.org/0000-0001-5939-935X"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Adeolu Taiwo","raw_affiliation_strings":["Department of Mathematics, The Technion\u2014Israel Institute of Technology, 3200003 Haifa, Israel"],"raw_orcid":"https://orcid.org/0000-0001-5939-935X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Technion\u2014Israel Institute of Technology, 3200003 Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057413218","display_name":"Simeon Reich","orcid":"https://orcid.org/0000-0003-0780-1559"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Simeon Reich","raw_affiliation_strings":["Department of Mathematics, The Technion\u2014Israel Institute of Technology, 3200003 Haifa, Israel"],"raw_orcid":"https://orcid.org/0000-0003-0780-1559","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Technion\u2014Israel Institute of Technology, 3200003 Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057413218","https://openalex.org/A5084271275"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.194,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5712958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"12","issue":"11","first_page":"1037","last_page":"1037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9926999807357788,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/regularization","display_name":"Regularization (linguistics)","score":0.8267061710357666},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6944653987884521},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5671571493148804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4966943860054016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4676852822303772},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45827364921569824},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44105011224746704},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3911397457122803},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2483566701412201}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.8267061710357666},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6944653987884521},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5671571493148804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4966943860054016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4676852822303772},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45827364921569824},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44105011224746704},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3911397457122803},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2483566701412201},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12111037","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111037","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1037/pdf?version=1699273351","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6bdb5da5dbcb4dc4b2c910763e9ca519","is_oa":true,"landing_page_url":"https://doaj.org/article/6bdb5da5dbcb4dc4b2c910763e9ca519","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 11, p 1037 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12111037","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111037","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1037/pdf?version=1699273351","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G8112945602","display_name":null,"funder_award_id":"2001893","funder_id":"https://openalex.org/F4320323721","funder_display_name":"Technion-Israel Institute of Technology"},{"id":"https://openalex.org/G8319275618","display_name":null,"funder_award_id":"2016723","funder_id":"https://openalex.org/F4320323721","funder_display_name":"Technion-Israel Institute of Technology"}],"funders":[{"id":"https://openalex.org/F4320323721","display_name":"Technion-Israel Institute of Technology","ror":"https://ror.org/03qryx823"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388424166.pdf"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1729314782","https://openalex.org/W1982388762","https://openalex.org/W1987427505","https://openalex.org/W1988539966","https://openalex.org/W1996583386","https://openalex.org/W1998576973","https://openalex.org/W2019569173","https://openalex.org/W2055467852","https://openalex.org/W2056578325","https://openalex.org/W2056743436","https://openalex.org/W2080844831","https://openalex.org/W2098337454","https://openalex.org/W2100503136","https://openalex.org/W2119645780","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2135802983","https://openalex.org/W2147631685","https://openalex.org/W2595512563","https://openalex.org/W2898652318","https://openalex.org/W3008115076","https://openalex.org/W3011154760","https://openalex.org/W3020994601","https://openalex.org/W3100041486","https://openalex.org/W3187944685","https://openalex.org/W3207766348","https://openalex.org/W3214821229","https://openalex.org/W4200105825","https://openalex.org/W4213169778","https://openalex.org/W4224983215","https://openalex.org/W4229650096","https://openalex.org/W4230875040","https://openalex.org/W4239181871","https://openalex.org/W4319840032","https://openalex.org/W4324349191","https://openalex.org/W4367310243","https://openalex.org/W4382795557","https://openalex.org/W4385391123","https://openalex.org/W4389435528","https://openalex.org/W6812969528","https://openalex.org/W6820424713","https://openalex.org/W6855004401"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W2165950148","https://openalex.org/W4300101996","https://openalex.org/W3101625811","https://openalex.org/W2338854850","https://openalex.org/W2184239527"],"abstract_inverted_index":{"We":[0,44],"study":[1],"three":[2],"classes":[3],"of":[4,11,21,59,96],"variational":[5],"inclusion":[6],"problems":[7,61],"in":[8,80,103,114],"the":[9,47,60,66,92,115],"framework":[10],"a":[12,18,35,57],"real":[13],"Hilbert":[14],"space":[15],"and":[16,39,84,94],"propose":[17],"simple":[19],"modification":[20],"Tseng\u2019s":[22],"forward-backward-forward":[23],"splitting":[24],"method":[25],"for":[26],"solving":[27],"such":[28],"problems.":[29,88],"Our":[30],"algorithm":[31,53,98],"is":[32],"obtained":[33],"via":[34],"certain":[36],"regularization":[37,67],"procedure":[38],"uses":[40],"self-adaptive":[41],"step":[42],"sizes.":[43],"show":[45],"that":[46,110],"approximating":[48],"sequences":[49],"generated":[50],"by":[51,99],"our":[52,72,97],"converge":[54],"strongly":[55],"to":[56,74,85],"solution":[58],"under":[62],"suitable":[63],"assumptions":[64],"on":[65],"parameters.":[68],"Furthermore,":[69],"we":[70,90],"apply":[71],"results":[73],"an":[75],"elastic":[76],"net":[77],"penalty":[78],"problem":[79],"statistical":[81],"learning":[82],"theory":[83],"split":[86],"feasibility":[87],"Moreover,":[89],"illustrate":[91],"usefulness":[93],"effectiveness":[95],"using":[100],"numerical":[101],"examples":[102],"comparison":[104],"with":[105],"some":[106],"existing":[107],"relevant":[108],"algorithms":[109],"can":[111],"be":[112],"found":[113],"literature.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}