{"id":"https://openalex.org/W2788673993","doi":"https://doi.org/10.1007/s10957-018-1249-x","title":"Constrained Extremum Problems and Image Space Analysis\u2014Part III: Generalized Systems","display_name":"Constrained Extremum Problems and Image Space Analysis\u2014Part III: Generalized Systems","publication_year":2018,"publication_date":"2018-02-21","ids":{"openalex":"https://openalex.org/W2788673993","doi":"https://doi.org/10.1007/s10957-018-1249-x","mag":"2788673993"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-1249-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1249-x","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","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/A5111597009","display_name":"Shengjie Li","orcid":null},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengjie Li","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101601043","display_name":"Y. D. Xu","orcid":"https://orcid.org/0000-0003-4106-2833"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangdong Xu","raw_affiliation_strings":["College of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033684966","display_name":"Manxue You","orcid":"https://orcid.org/0000-0001-8787-375X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Manxue You","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087791261","display_name":"Shengkun Zhu","orcid":"https://orcid.org/0000-0001-8569-124X"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengkun Zhu","raw_affiliation_strings":["Department of Economics and Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111597009"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2798,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81428464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"177","issue":"3","first_page":"660","last_page":"678"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.991599977016449,"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":0.991599977016449,"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":0.982699990272522,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/theory-of-computation","display_name":"Theory of computation","score":0.7801355719566345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7296682596206665},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.659149169921875},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.540435254573822},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4906827211380005},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47739285230636597},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3975144326686859},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2628912031650543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2246798276901245},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1479940414428711},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13396769762039185},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08050563931465149}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7801355719566345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7296682596206665},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.659149169921875},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.540435254573822},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4906827211380005},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47739285230636597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3975144326686859},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2628912031650543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2246798276901245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1479940414428711},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13396769762039185},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08050563931465149},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-018-1249-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1249-x","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:177:y:2018:i:3:d:10.1007_s10957-018-1249-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-1249-x","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":0.6700000166893005,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4045652615","display_name":null,"funder_award_id":"11601437","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G6737791883","display_name":null,"funder_award_id":"11571055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G823063992","display_name":null,"funder_award_id":"11526165","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W113278869","https://openalex.org/W1543439990","https://openalex.org/W1991313396","https://openalex.org/W2019916284","https://openalex.org/W2037187051","https://openalex.org/W2054913845","https://openalex.org/W2078983463","https://openalex.org/W2109783572","https://openalex.org/W2123844890","https://openalex.org/W2266141967","https://openalex.org/W2335860314","https://openalex.org/W2499667059","https://openalex.org/W2561978706","https://openalex.org/W2588549965","https://openalex.org/W2623876070","https://openalex.org/W2744955493","https://openalex.org/W4249125060","https://openalex.org/W6639920627"],"related_works":["https://openalex.org/W4253372294","https://openalex.org/W2593555778","https://openalex.org/W1569390036","https://openalex.org/W4250775169","https://openalex.org/W2026789159","https://openalex.org/W88297779","https://openalex.org/W2384039353","https://openalex.org/W2165483356","https://openalex.org/W4309231192","https://openalex.org/W2029931673"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}