{"id":"https://openalex.org/W2770609612","doi":"https://doi.org/10.1007/s10957-017-1197-x","title":"Image Space Analysis for Constrained Inverse Vector Variational Inequalities via Multiobjective Optimization","display_name":"Image Space Analysis for Constrained Inverse Vector Variational Inequalities via Multiobjective Optimization","publication_year":2017,"publication_date":"2017-11-22","ids":{"openalex":"https://openalex.org/W2770609612","doi":"https://doi.org/10.1007/s10957-017-1197-x","mag":"2770609612"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-017-1197-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1197-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/A5100362816","display_name":"Jiawei Chen","orcid":"https://orcid.org/0000-0002-4874-3415"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiawei Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016712684","display_name":"Elisabeth K\u00f6bis","orcid":"https://orcid.org/0000-0003-3842-4522"},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Elisabeth K\u00f6bis","raw_affiliation_strings":["Martin Luther University Halle-Wittenberg, Institute of Mathematics, 06099, Halle (Saale), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Martin Luther University Halle-Wittenberg, Institute of Mathematics, 06099, Halle (Saale), Germany","institution_ids":["https://openalex.org/I68956291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046338741","display_name":"Markus A. K\u00f6bis","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus K\u00f6bis","raw_affiliation_strings":["Department of Mathematics and Computer Science, Freie universit\u00e4t Berlin, 14195, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Freie universit\u00e4t Berlin, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050520268","display_name":"Jen\u2010Chih Yao","orcid":"https://orcid.org/0000-0001-9041-3375"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA","TW"],"is_corresponding":true,"raw_author_name":"Jen-Chih Yao","raw_affiliation_strings":["Center for General Education, China Medical University, Taichung, 40402, Taiwan","Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for General Education, China Medical University, Taichung, 40402, Taiwan","institution_ids":["https://openalex.org/I184693016"]},{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5050520268"],"corresponding_institution_ids":["https://openalex.org/I184693016","https://openalex.org/I185163786"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.6129,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94055858,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"177","issue":"3","first_page":"816","last_page":"834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980999827384949,"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":0.9980999827384949,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9605000019073486,"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/mathematics","display_name":"Mathematics","score":0.8450914025306702},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6713573336601257},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6510225534439087},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.588829755783081},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5500987768173218},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.5085512399673462},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.4887242317199707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48687878251075745},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4851430356502533},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46249938011169434},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4433121085166931},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.43708401918411255},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.33464211225509644},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33012479543685913},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17978891730308533},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06796550750732422}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8450914025306702},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6713573336601257},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6510225534439087},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.588829755783081},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5500987768173218},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.5085512399673462},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.4887242317199707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48687878251075745},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4851430356502533},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46249938011169434},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4433121085166931},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.43708401918411255},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.33464211225509644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33012479543685913},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17978891730308533},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06796550750732422},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-017-1197-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1197-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_s10957-017-1197-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-017-1197-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":0.5400000214576721,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2652217327","display_name":null,"funder_award_id":"11401487","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W129061428","https://openalex.org/W287935110","https://openalex.org/W1582299569","https://openalex.org/W1583003156","https://openalex.org/W1606041057","https://openalex.org/W1966480644","https://openalex.org/W1969425427","https://openalex.org/W1981981726","https://openalex.org/W1989402033","https://openalex.org/W1998209514","https://openalex.org/W2024057042","https://openalex.org/W2036072155","https://openalex.org/W2037626937","https://openalex.org/W2040568274","https://openalex.org/W2041934080","https://openalex.org/W2049391017","https://openalex.org/W2055826474","https://openalex.org/W2057404142","https://openalex.org/W2057428699","https://openalex.org/W2062868300","https://openalex.org/W2066156741","https://openalex.org/W2093074345","https://openalex.org/W2094964517","https://openalex.org/W2264534529","https://openalex.org/W2291051718","https://openalex.org/W2320974190","https://openalex.org/W2335860314","https://openalex.org/W2341171179","https://openalex.org/W2572487493","https://openalex.org/W3160082960","https://openalex.org/W4210903911","https://openalex.org/W4235851924","https://openalex.org/W4236737584","https://openalex.org/W4238210511","https://openalex.org/W4255667420"],"related_works":["https://openalex.org/W188711498","https://openalex.org/W2064437400","https://openalex.org/W2013038594","https://openalex.org/W1988098345","https://openalex.org/W2271442774","https://openalex.org/W1528644537","https://openalex.org/W2052210854","https://openalex.org/W1972995031","https://openalex.org/W1522601794","https://openalex.org/W2770609612"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
