{"id":"https://openalex.org/W2039003070","doi":"https://doi.org/10.1007/s101070050094","title":"A hybrid Newton method for solving the variational inequality problem via the D-gap function","display_name":"A hybrid Newton method for solving the variational inequality problem via the D-gap function","publication_year":1999,"publication_date":"1999-11-01","ids":{"openalex":"https://openalex.org/W2039003070","doi":"https://doi.org/10.1007/s101070050094","mag":"2039003070"},"language":"en","primary_location":{"id":"doi:10.1007/s101070050094","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050094","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5111509378","display_name":"Jiming Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I126792128","display_name":"Institute of Applied Physics","ror":"https://ror.org/01km14z09","country_code":"UA","type":"facility","lineage":["https://openalex.org/I126792128","https://openalex.org/I149851306"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL","UA"],"is_corresponding":false,"raw_author_name":"Ji-Ming Peng","raw_affiliation_strings":["State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academic Sinica, Beijing, P.O. Box 2719, 100080, China. Current Address: Faculty of Technical Mathematics and Informatics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands, e-mail: j.peng@twi.tudelft.nl, , , , , , CN","Delft University of Technology, Delft, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academic Sinica, Beijing, P.O. Box 2719, 100080, China. Current Address: Faculty of Technical Mathematics and Informatics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands, e-mail: j.peng@twi.tudelft.nl, , , , , , CN","institution_ids":["https://openalex.org/I126792128"]},{"raw_affiliation_string":"Delft University of Technology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058813836","display_name":"Masao Fukushima","orcid":"https://orcid.org/0000-0002-4372-6376"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masao Fukushima","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan, e-mail: fuku@kuamp.kyoto-u.ac.jp, , , , , , JP","Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan, e-mail: fuku@kuamp.kyoto-u.ac.jp, JP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan, e-mail: fuku@kuamp.kyoto-u.ac.jp, , , , , , JP","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan, e-mail: fuku@kuamp.kyoto-u.ac.jp, JP","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.9395,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.90704178,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"86","issue":"2","first_page":"367","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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":0.998199999332428,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9629999995231628,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8748890161514282},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.8343154191970825},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.7239920496940613},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6562511324882507},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6013992428779602},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5965486168861389},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5845736861228943},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5743670463562012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5234881639480591},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5103198885917664},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5101118683815002},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.49692419171333313},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3729339838027954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3321765065193176},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08654841780662537}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8748890161514282},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.8343154191970825},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7239920496940613},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6562511324882507},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6013992428779602},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5965486168861389},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5845736861228943},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5743670463562012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5234881639480591},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5103198885917664},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5101118683815002},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.49692419171333313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3729339838027954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3321765065193176},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08654841780662537},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s101070050094","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050094","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.4650","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.4650","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kuamp.kyoto-u.ac.jp/labs/optima/member/staff/fuku/./papers/pengfuku.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6499999761581421,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W41323005","https://openalex.org/W190139448","https://openalex.org/W1484204181","https://openalex.org/W1564612581","https://openalex.org/W1623758843","https://openalex.org/W1948466936","https://openalex.org/W1966205354","https://openalex.org/W1969073096","https://openalex.org/W1980487211","https://openalex.org/W1982916564","https://openalex.org/W1985229624","https://openalex.org/W1985348591","https://openalex.org/W1986363259","https://openalex.org/W1993647205","https://openalex.org/W1995158804","https://openalex.org/W1995227244","https://openalex.org/W2009138028","https://openalex.org/W2023821846","https://openalex.org/W2037179686","https://openalex.org/W2045266516","https://openalex.org/W2055400291","https://openalex.org/W2075825252","https://openalex.org/W2079340989","https://openalex.org/W2084288112","https://openalex.org/W2090011515","https://openalex.org/W2090963365","https://openalex.org/W2093246563","https://openalex.org/W2097551456","https://openalex.org/W2107710567","https://openalex.org/W2128234186","https://openalex.org/W2139652035","https://openalex.org/W2145559986","https://openalex.org/W2151902790","https://openalex.org/W2152119413","https://openalex.org/W2476429896","https://openalex.org/W2971350920"],"related_works":["https://openalex.org/W2044296933","https://openalex.org/W2383497899","https://openalex.org/W2011614914","https://openalex.org/W4233380117","https://openalex.org/W1561249172","https://openalex.org/W4300843901","https://openalex.org/W2027687913","https://openalex.org/W2366409812","https://openalex.org/W2951312832","https://openalex.org/W2085771669"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}