{"id":"https://openalex.org/W2766598111","doi":"https://doi.org/10.1007/s10898-018-00730-5","title":"Generalized forward\u2013backward splitting with penalization for monotone inclusion problems","display_name":"Generalized forward\u2013backward splitting with penalization for monotone inclusion problems","publication_year":2018,"publication_date":"2018-12-15","ids":{"openalex":"https://openalex.org/W2766598111","doi":"https://doi.org/10.1007/s10898-018-00730-5","mag":"2766598111"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-018-00730-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-00730-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1710.11307","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042690366","display_name":"Nimit Nimana","orcid":"https://orcid.org/0000-0003-1640-8919"},"institutions":[{"id":"https://openalex.org/I179193067","display_name":"Khon Kaen University","ror":"https://ror.org/03cq4gr50","country_code":"TH","type":"education","lineage":["https://openalex.org/I179193067"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Nimit Nimana","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand","Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, THAILAND"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand","institution_ids":["https://openalex.org/I179193067"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, THAILAND","institution_ids":["https://openalex.org/I179193067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076530191","display_name":"Narin Petrot","orcid":"https://orcid.org/0000-0001-6539-7107"},"institutions":[{"id":"https://openalex.org/I66200439","display_name":"Naresuan University","ror":"https://ror.org/03e2qe334","country_code":"TH","type":"education","lineage":["https://openalex.org/I66200439"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Narin Petrot","raw_affiliation_strings":["Center of Excellence in Nonlinear Analysis and Optimization, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand"],"raw_orcid":"https://orcid.org/0000-0001-6539-7107","affiliations":[{"raw_affiliation_string":"Center of Excellence in Nonlinear Analysis and Optimization, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand","institution_ids":["https://openalex.org/I66200439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03008929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"4","first_page":"825","last_page":"847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9940999746322632,"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":0.9890999794006348,"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/monotone-polygon","display_name":"Monotone polygon","score":0.7585341930389404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7529518008232117},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6885342597961426},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6330073475837708},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5599549412727356},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5438204407691956},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.46369990706443787},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46358156204223633},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4497143030166626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4434676766395569},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4266253113746643},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4215729832649231},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4186440110206604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3550634980201721},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25803232192993164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23890912532806396}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7585341930389404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7529518008232117},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6885342597961426},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6330073475837708},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5599549412727356},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5438204407691956},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.46369990706443787},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46358156204223633},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4497143030166626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4434676766395569},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4266253113746643},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4215729832649231},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4186440110206604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3550634980201721},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25803232192993164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23890912532806396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10898-018-00730-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-00730-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1710.11307","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1710.11307","pdf_url":"https://arxiv.org/pdf/1710.11307","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:2766598111","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1710.11307.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:spr:jglopt:v:73:y:2019:i:4:d:10.1007_s10898-018-00730-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-018-00730-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"doi:10.48550/arxiv.1710.11307","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1710.11307","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1710.11307","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1710.11307","pdf_url":"https://arxiv.org/pdf/1710.11307","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"score":0.7200000286102295,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1124070702","display_name":null,"funder_award_id":"RSA5880028","funder_id":"https://openalex.org/F4320322614","funder_display_name":"Thailand Research Fund"}],"funders":[{"id":"https://openalex.org/F4320322614","display_name":"Thailand Research Fund","ror":"https://ror.org/03gd1bh37"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1560858410","https://openalex.org/W1767939703","https://openalex.org/W1837565340","https://openalex.org/W1850691639","https://openalex.org/W1939652453","https://openalex.org/W1998576973","https://openalex.org/W2000462146","https://openalex.org/W2001702564","https://openalex.org/W2005833769","https://openalex.org/W2007437458","https://openalex.org/W2009729943","https://openalex.org/W2030254567","https://openalex.org/W2034415424","https://openalex.org/W2046428687","https://openalex.org/W2047028564","https://openalex.org/W2053487511","https://openalex.org/W2077726563","https://openalex.org/W2109633030","https://openalex.org/W2114423093","https://openalex.org/W2114605231","https://openalex.org/W2120717492","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2175165459","https://openalex.org/W2209554618","https://openalex.org/W2315925303","https://openalex.org/W2626867912","https://openalex.org/W2752211653","https://openalex.org/W2963156201","https://openalex.org/W2963433607","https://openalex.org/W2963705414","https://openalex.org/W2964351573","https://openalex.org/W3135060683","https://openalex.org/W4229650096","https://openalex.org/W4234698323"],"related_works":["https://openalex.org/W2951428631","https://openalex.org/W2009729943","https://openalex.org/W2904230427","https://openalex.org/W2046428687","https://openalex.org/W2153770148","https://openalex.org/W2680076759","https://openalex.org/W2951399389","https://openalex.org/W2007437458","https://openalex.org/W407999889","https://openalex.org/W2118336181","https://openalex.org/W2085418095","https://openalex.org/W2950956290","https://openalex.org/W2099502063","https://openalex.org/W2052475029","https://openalex.org/W2900976719","https://openalex.org/W2096911290","https://openalex.org/W2021784794","https://openalex.org/W3122303378","https://openalex.org/W2962762170","https://openalex.org/W2883622420"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}