{"id":"https://openalex.org/W7163713208","doi":"https://doi.org/10.1016/j.cnsns.2026.110300","title":"A bundle-based trust region method for nonsmooth pseudomonotone equilibrium problems","display_name":"A bundle-based trust region method for nonsmooth pseudomonotone equilibrium problems","publication_year":2026,"publication_date":"2026-06-05","ids":{"openalex":"https://openalex.org/W7163713208","doi":"https://doi.org/10.1016/j.cnsns.2026.110300"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.110300","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110300","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","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":["College of Mathematics and Information Science, Hebei University, Baoding, 071002, Hebei, China","Hebei Key Laboratory of Machine Learning and Computational Intelligence, Hebei University, Baoding, 071002, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding, 071002, Hebei, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"Hebei Key Laboratory of Machine Learning and Computational Intelligence, Hebei University, Baoding, 071002, Hebei, China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101514073","display_name":"Ke Su","orcid":"https://orcid.org/0000-0001-8110-9486"},"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":true,"raw_author_name":"Ke Su","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding, 071002, Hebei, China","Hebei Key Laboratory of Machine Learning and Computational Intelligence, Hebei University, Baoding, 071002, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding, 071002, Hebei, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"Hebei Key Laboratory of Machine Learning and Computational Intelligence, Hebei University, Baoding, 071002, Hebei, China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101514073"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.73813239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"162","issue":null,"first_page":"110300","last_page":"110300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5019000172615051,"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":0.5019000172615051,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.17589999735355377,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.053300000727176666,"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/work","display_name":"Work (physics)","score":0.2644999921321869},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.24449999630451202},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.24420000612735748},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.23890000581741333}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5895000100135803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3215999901294708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30239999294281006},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2644999921321869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2524000108242035},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.24449999630451202},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.24420000612735748},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.23890000581741333},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.23720000684261322}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.110300","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110300","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1947435151","https://openalex.org/W1965529951","https://openalex.org/W1991765628","https://openalex.org/W2009010905","https://openalex.org/W2045751968","https://openalex.org/W2050760145","https://openalex.org/W2052236418","https://openalex.org/W2083669856","https://openalex.org/W2091998586","https://openalex.org/W2165543081","https://openalex.org/W2570881040","https://openalex.org/W2900537105","https://openalex.org/W2950866122","https://openalex.org/W3010717203","https://openalex.org/W3080206672","https://openalex.org/W3095148828","https://openalex.org/W3131767876","https://openalex.org/W3158854653","https://openalex.org/W3197604085","https://openalex.org/W3213167315","https://openalex.org/W3214509797","https://openalex.org/W4280534043","https://openalex.org/W4283716871","https://openalex.org/W4296946233","https://openalex.org/W4312644179","https://openalex.org/W4313703184","https://openalex.org/W4317038588","https://openalex.org/W4321491807","https://openalex.org/W4365441297","https://openalex.org/W4383227879","https://openalex.org/W4389702701","https://openalex.org/W4393233417","https://openalex.org/W4394850849","https://openalex.org/W4400746645","https://openalex.org/W4401029323","https://openalex.org/W4402332655","https://openalex.org/W4402525854","https://openalex.org/W4404566137","https://openalex.org/W4406251637","https://openalex.org/W4410359753","https://openalex.org/W4414114360","https://openalex.org/W7131304098"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-10T06:17:36.459440","created_date":"2026-06-06T00:00:00"}