{"id":"https://openalex.org/W2047737806","doi":"https://doi.org/10.1155/2012/638632","title":"Iterative Methods for the Sum of Two Monotone Operators","display_name":"Iterative Methods for the Sum of Two Monotone Operators","publication_year":2011,"publication_date":"2011-12-04","ids":{"openalex":"https://openalex.org/W2047737806","doi":"https://doi.org/10.1155/2012/638632","mag":"2047737806"},"language":"en","primary_location":{"id":"doi:10.1155/2012/638632","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/638632","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/638632.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/638632.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076089250","display_name":"Yeong\u2010Cheng Liou","orcid":"https://orcid.org/0000-0002-2475-3635"},"institutions":[{"id":"https://openalex.org/I91951123","display_name":"Cheng Shiu University","ror":"https://ror.org/011bdtx65","country_code":"TW","type":"education","lineage":["https://openalex.org/I91951123"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Yeong-Cheng Liou","raw_affiliation_strings":["Department of Information Management, Cheng Shiu University, Kaohsiung 833","Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Information Management, Cheng Shiu University, Kaohsiung 833","institution_ids":["https://openalex.org/I91951123"]},{"raw_affiliation_string":"Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan#TAB#","institution_ids":["https://openalex.org/I91951123"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076089250"],"corresponding_institution_ids":["https://openalex.org/I91951123"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12012144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","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":0.9997000098228455,"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":0.9997000098228455,"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":0.9959999918937683,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.9059147834777832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7267183065414429},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5767210125923157},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5068541169166565},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45698243379592896},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4489971697330475},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.403107613325119},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3522289991378784}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.9059147834777832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7267183065414429},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5767210125923157},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5068541169166565},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45698243379592896},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4489971697330475},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.403107613325119},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3522289991378784},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/638632","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/638632","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/638632.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1329337710","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1329337710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:638632","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/638632.xml","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":"pmh:oai:doaj.org/article:295f3a469f204186bca0fc8331175124","is_oa":true,"landing_page_url":"https://doaj.org/article/295f3a469f204186bca0fc8331175124","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/638632","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/638632","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/638632.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3460877753","display_name":null,"funder_award_id":"NSC 100-2221-E-230-01","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G8394235771","display_name":null,"funder_award_id":"NSC 100-2221-E-230-012","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"}],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2047737806.pdf","grobid_xml":"https://content.openalex.org/works/W2047737806.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W93786226","https://openalex.org/W154593720","https://openalex.org/W1483131861","https://openalex.org/W1964356434","https://openalex.org/W1968355496","https://openalex.org/W1973592207","https://openalex.org/W1995485305","https://openalex.org/W1998027727","https://openalex.org/W1998544309","https://openalex.org/W2000311910","https://openalex.org/W2013310256","https://openalex.org/W2018056315","https://openalex.org/W2019088302","https://openalex.org/W2022076736","https://openalex.org/W2025252281","https://openalex.org/W2032195544","https://openalex.org/W2036451537","https://openalex.org/W2042472447","https://openalex.org/W2043664401","https://openalex.org/W2056838549","https://openalex.org/W2066045783","https://openalex.org/W2073163826","https://openalex.org/W2091398038","https://openalex.org/W2091933912","https://openalex.org/W2094914417","https://openalex.org/W2134851358","https://openalex.org/W2136317942","https://openalex.org/W2140422129","https://openalex.org/W2152028420","https://openalex.org/W2154008711","https://openalex.org/W2161903566","https://openalex.org/W2266418310","https://openalex.org/W2506435472","https://openalex.org/W6692973537","https://openalex.org/W7062114071"],"related_works":["https://openalex.org/W2011614914","https://openalex.org/W1561249172","https://openalex.org/W4300843901","https://openalex.org/W2951312832","https://openalex.org/W2794072299","https://openalex.org/W2280242407","https://openalex.org/W1816587483","https://openalex.org/W1585725267","https://openalex.org/W2088537853","https://openalex.org/W2092196160"],"abstract_inverted_index":{"We":[0,16],"introduce":[1],"an":[2],"iterative":[3],"for":[4],"finding":[5],"the":[6,10,19,25,29],"zeros":[7,26],"point":[8,27],"of":[9,12,28,31],"sum":[11,30],"two":[13,32],"monotone":[14,33],"operators.":[15,34],"prove":[17],"that":[18],"suggested":[20],"method":[21],"converges":[22],"strongly":[23],"to":[24]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
