{"id":"https://openalex.org/W4392194561","doi":"https://doi.org/10.1080/00207160.2024.2321361","title":"Projection-type method with line-search process for solving variational inequalities","display_name":"Projection-type method with line-search process for solving variational inequalities","publication_year":2024,"publication_date":"2024-02-01","ids":{"openalex":"https://openalex.org/W4392194561","doi":"https://doi.org/10.1080/00207160.2024.2321361"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2321361","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2321361","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5100719013","display_name":"Min Li","orcid":"https://orcid.org/0000-0002-0188-1394"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Min Li","raw_affiliation_strings":["College of Basic Education, Chongqing Industry & Trade Polytechnic, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Basic Education, Chongqing Industry & Trade Polytechnic, Chongqing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007659962","display_name":"Chuan Qin","orcid":"https://orcid.org/0000-0002-4851-6474"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chuan Qin","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056850683","display_name":"Prasit Cholamjiak","orcid":"https://orcid.org/0000-0003-2996-1166"},"institutions":[{"id":"https://openalex.org/I4210090662","display_name":"University of Phayao","ror":"https://ror.org/00a5mh069","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210090662"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Prasit Cholamjiak","raw_affiliation_strings":["School of Science, University of Phayao, Phayao, Thailand"],"affiliations":[{"raw_affiliation_string":"School of Science, University of Phayao, Phayao, Thailand","institution_ids":["https://openalex.org/I4210090662"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092492991","display_name":"Papatsara Inkrong","orcid":"https://orcid.org/0009-0007-9029-5736"},"institutions":[{"id":"https://openalex.org/I4210090662","display_name":"University of Phayao","ror":"https://ror.org/00a5mh069","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210090662"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Papatsara Inkrong","raw_affiliation_strings":["School of Science, University of Phayao, Phayao, Thailand"],"affiliations":[{"raw_affiliation_string":"School of Science, University of Phayao, Phayao, Thailand","institution_ids":["https://openalex.org/I4210090662"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007659962"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":0.759,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70540489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"101","issue":"2","first_page":"154","last_page":"169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9958999752998352,"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":0.9955999851226807,"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/mathematics","display_name":"Mathematics","score":0.7324130535125732},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.6738662719726562},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6690468788146973},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6679402589797974},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6356929540634155},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6318185925483704},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6297639608383179},{"id":"https://openalex.org/keywords/inertia","display_name":"Inertia","score":0.5112012028694153},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.49814343452453613},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45086249709129333},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.44917768239974976},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42695707082748413},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4245811402797699},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38941454887390137},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.3345949649810791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22631236910820007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1995941400527954}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7324130535125732},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.6738662719726562},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6690468788146973},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6679402589797974},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6356929540634155},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6318185925483704},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6297639608383179},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.5112012028694153},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.49814343452453613},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45086249709129333},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.44917768239974976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42695707082748413},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4245811402797699},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38941454887390137},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.3345949649810791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22631236910820007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1995941400527954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2321361","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2321361","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W174952287","https://openalex.org/W1516681311","https://openalex.org/W1519983590","https://openalex.org/W1980752190","https://openalex.org/W1987290518","https://openalex.org/W1998544309","https://openalex.org/W2046641376","https://openalex.org/W2056743436","https://openalex.org/W2069491950","https://openalex.org/W2078819283","https://openalex.org/W2133665775","https://openalex.org/W2134851358","https://openalex.org/W2182726851","https://openalex.org/W2340523403","https://openalex.org/W2394608080","https://openalex.org/W2540495167","https://openalex.org/W2726045365","https://openalex.org/W2752192881","https://openalex.org/W2779720153","https://openalex.org/W2790649279","https://openalex.org/W2792512885","https://openalex.org/W2907435389","https://openalex.org/W2964860714","https://openalex.org/W3045374966","https://openalex.org/W3139542054","https://openalex.org/W3184464583","https://openalex.org/W4205234567","https://openalex.org/W4291825146"],"related_works":["https://openalex.org/W2123630987","https://openalex.org/W2113900291","https://openalex.org/W2091288255","https://openalex.org/W2350630885","https://openalex.org/W4221091651","https://openalex.org/W2388744476","https://openalex.org/W2124568144","https://openalex.org/W4287588948","https://openalex.org/W2078980565","https://openalex.org/W2800672146"],"abstract_inverted_index":{"We":[0],"propose":[1],"an":[2,47],"accelerated":[3],"projection-type":[4],"method":[5,14,78],"for":[6,17,26],"solving":[7],"variational":[8],"inequalities":[9],"in":[10],"Hilbert":[11],"spaces.":[12],"The":[13],"is":[15],"suitable":[16],"pseudomonotone":[18],"non-Lipschitz":[19],"continuous":[20],"operators":[21],"and":[22,45],"obtains":[23],"strong":[24],"convergence":[25,53],"iterative":[27],"sequences":[28],"under":[29],"appropriate":[30],"conditions.":[31],"Based":[32],"on":[33],"the":[34,52,56,67,71],"classical":[35],"double-projection":[36],"gradient":[37],"method,":[38],"we":[39],"establish":[40],"a":[41],"new":[42],"line-search":[43],"rule":[44],"add":[46],"inertia":[48],"term":[49],"to":[50,65],"improve":[51],"speed":[54],"of":[55],"proposed":[57,68],"algorithm.":[58],"Finally,":[59],"some":[60],"numerical":[61],"examples":[62],"are":[63],"implemented":[64],"compare":[66],"algorithm":[69],"with":[70],"existing":[72],"results,":[73],"thereby":[74],"verifying":[75],"that":[76],"our":[77],"has":[79],"better":[80],"performance.":[81]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}