{"id":"https://openalex.org/W1984458024","doi":"https://doi.org/10.1007/s10898-011-9754-6","title":"Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications","display_name":"Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications","publication_year":2011,"publication_date":"2011-07-25","ids":{"openalex":"https://openalex.org/W1984458024","doi":"https://doi.org/10.1007/s10898-011-9754-6","mag":"1984458024"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-011-9754-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9754-6","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020535377","display_name":"Shenghua Wang","orcid":"https://orcid.org/0000-0002-4821-4580"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shenghua Wang","raw_affiliation_strings":["Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, China","Department of Mathematics and Physics, North China Electric Power University, Baoding, China 071003#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, China","institution_ids":["https://openalex.org/I153473198"]},{"raw_affiliation_string":"Department of Mathematics and Physics, North China Electric Power University, Baoding, China 071003#TAB#","institution_ids":["https://openalex.org/I153473198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031131151","display_name":"Giuseppe Marino","orcid":"https://orcid.org/0000-0001-9381-9338"},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Marino","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 della Calabria, 87036, Arcavacata di Rende (CS), Italy","Dipartimento di Matematica, Universita della Calabria, Arcavacata di Rende (Cs), Italy 87036#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 della Calabria, 87036, Arcavacata di Rende (CS), Italy","institution_ids":["https://openalex.org/I45204951"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universita della Calabria, Arcavacata di Rende (Cs), Italy 87036#TAB#","institution_ids":["https://openalex.org/I45204951"]}]},{"author_position":"last","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":false,"raw_author_name":"Yeong-Cheng Liou","raw_affiliation_strings":["Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan","Department of Information Management, Cheng Shiu University, Kaohsiung, Taiwan 833#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan","institution_ids":["https://openalex.org/I91951123"]},{"raw_affiliation_string":"Department of Information Management, Cheng Shiu University, Kaohsiung, Taiwan 833#TAB#","institution_ids":["https://openalex.org/I91951123"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020535377"],"corresponding_institution_ids":["https://openalex.org/I153473198"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":1.483,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81193894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"54","issue":"1","first_page":"155","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"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":1.0,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/mathematics","display_name":"Mathematics","score":0.8976181745529175},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8953637480735779},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7696405649185181},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6891701817512512},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6773093938827515},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6488077640533447},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5419330596923828},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5343071222305298},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5010919570922852},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47614383697509766},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4739665687084198},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43287795782089233},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21370935440063477},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21285372972488403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06516110897064209}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8976181745529175},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8953637480735779},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7696405649185181},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6891701817512512},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6773093938827515},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6488077640533447},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5419330596923828},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5343071222305298},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5010919570922852},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47614383697509766},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4739665687084198},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43287795782089233},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21370935440063477},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21285372972488403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06516110897064209},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-011-9754-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9754-6","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:RePEc:spr:jglopt:v:54:y:2012:i:1:p:155-171","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-011-9754-6","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W157730637","https://openalex.org/W1487976166","https://openalex.org/W1586096349","https://openalex.org/W1969033420","https://openalex.org/W1983011472","https://openalex.org/W1986801741","https://openalex.org/W1998167275","https://openalex.org/W2006464304","https://openalex.org/W2031820100","https://openalex.org/W2044167041","https://openalex.org/W2054497632","https://openalex.org/W2056838549","https://openalex.org/W2073953242","https://openalex.org/W2086773252","https://openalex.org/W2089803249","https://openalex.org/W2092672032","https://openalex.org/W2093975757","https://openalex.org/W2134851358","https://openalex.org/W2165026113","https://openalex.org/W2801143022","https://openalex.org/W4231777091"],"related_works":["https://openalex.org/W2280242407","https://openalex.org/W2085771669","https://openalex.org/W2083131310","https://openalex.org/W2053463107","https://openalex.org/W213820718","https://openalex.org/W3044731203","https://openalex.org/W2061511329","https://openalex.org/W2904899490","https://openalex.org/W2011881806","https://openalex.org/W2055132062"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
