{"id":"https://openalex.org/W4400582366","doi":"https://doi.org/10.1142/s0217595924500192","title":"An Inexact Bundle Method for Semi-Infinite Minimax Problems","display_name":"An Inexact Bundle Method for Semi-Infinite Minimax Problems","publication_year":2024,"publication_date":"2024-07-12","ids":{"openalex":"https://openalex.org/W4400582366","doi":"https://doi.org/10.1142/s0217595924500192"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595924500192","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595924500192","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5093131267","display_name":"Tianyou Shang","orcid":"https://orcid.org/0000-0002-4131-6955"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyou Shang","raw_affiliation_strings":["Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-4131-6955","affiliations":[{"raw_affiliation_string":"Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044173743","display_name":"Ke Su","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Su","raw_affiliation_strings":["Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-8735-1422","affiliations":[{"raw_affiliation_string":"Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101259958","display_name":"Yanshu Wei","orcid":"https://orcid.org/0000-0001-7479-6396"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanshu Wei","raw_affiliation_strings":["Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-7479-6396","affiliations":[{"raw_affiliation_string":"Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050744861","display_name":"Bing Zhao","orcid":"https://orcid.org/0000-0001-6193-7639"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Zhao","raw_affiliation_strings":["Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-6193-7639","affiliations":[{"raw_affiliation_string":"Hebei Key Laboratory of Machine, Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15660052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9887999892234802,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9887999892234802,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9851999878883362,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9221000075340271,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.8231083154678345},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.7554654479026794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4876745939254761},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44208860397338867},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3602575957775116},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33321666717529297},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08491969108581543},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07145649194717407}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.8231083154678345},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.7554654479026794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4876745939254761},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44208860397338867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3602575957775116},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33321666717529297},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08491969108581543},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07145649194717407},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217595924500192","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595924500192","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G632010569","display_name":null,"funder_award_id":"A2022201002","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"}],"funders":[{"id":"https://openalex.org/F4320322163","display_name":"Natural Science Foundation of Hebei Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W199940885","https://openalex.org/W356322785","https://openalex.org/W1980468836","https://openalex.org/W1981487261","https://openalex.org/W2062058373","https://openalex.org/W2075887074","https://openalex.org/W2083406795","https://openalex.org/W2094094274","https://openalex.org/W2095256920","https://openalex.org/W2131116400","https://openalex.org/W2165002617","https://openalex.org/W2172583146","https://openalex.org/W2754366921","https://openalex.org/W3022391784","https://openalex.org/W3138692071","https://openalex.org/W3154927715","https://openalex.org/W3170718144","https://openalex.org/W3202371139","https://openalex.org/W4220793708","https://openalex.org/W4232193086","https://openalex.org/W4309102041"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2016058626","https://openalex.org/W1979597421","https://openalex.org/W2474724840","https://openalex.org/W2963760573","https://openalex.org/W2007980826","https://openalex.org/W2895916002","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W3182145356"],"abstract_inverted_index":{"Semi-infinite":[0],"minimax":[1,24,50,99],"problems":[2],"are":[3],"widely":[4],"utilized":[5],"in":[6,36,91],"various":[7],"fields;":[8],"however,":[9],"there":[10],"is":[11,34,84,106],"a":[12,74],"scarcity":[13],"of":[14,48,58,77,103,121],"algorithms":[15],"that":[16],"can":[17,40],"directly":[18,42],"tackle":[19],"convex-convex":[20,98],"and":[21,119],"convex-concave":[22],"semi-infinite":[23,49],"problems.":[25,51,100],"An":[26],"inexact":[27],"algorithm":[28,54,105],"based":[29],"on":[30],"the":[31,56,64,80,117],"bundle":[32,93],"method":[33,83,94],"introduced":[35],"this":[37],"paper,":[38],"which":[39],"be":[41],"applied":[43],"to":[44,86],"solve":[45],"both":[46],"types":[47],"The":[52],"novel":[53],"offers":[55],"advantage":[57],"not":[59],"requiring":[60],"exact":[61],"solutions":[62],"for":[63],"inner":[65],"maximization":[66],"problem":[67],"but":[68],"only":[69],"necessitates":[70],"optimal":[71],"solution":[72],"with":[73,97],"certain":[75],"level":[76],"precision.":[78],"Additionally,":[79],"augmentation":[81],"function":[82],"employed":[85],"address":[87],"nonconvergence":[88],"issues":[89],"encountered":[90],"traditional":[92],"when":[95],"dealing":[96],"Global":[101],"convergence":[102],"our":[104,122],"proven":[107],"under":[108],"reasonable":[109],"assumptions.":[110],"Numerical":[111],"results":[112],"from":[113],"several":[114],"examples":[115],"demonstrate":[116],"effectiveness":[118],"practicality":[120],"proposed":[123],"approach.":[124]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}