{"id":"https://openalex.org/W2006688713","doi":"https://doi.org/10.1007/s001860100112","title":"Generalized properly efficient solutions of vector optimization problems","display_name":"Generalized properly efficient solutions of vector optimization problems","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2006688713","doi":"https://doi.org/10.1007/s001860100112","mag":"2006688713"},"language":"en","primary_location":{"id":"doi:10.1007/s001860100112","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860100112","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research (ZOR)","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/A5113796932","display_name":"Doug Ward","orcid":null},"institutions":[{"id":"https://openalex.org/I83328450","display_name":"Miami University","ror":"https://ror.org/05nbqxr67","country_code":"US","type":"education","lineage":["https://openalex.org/I83328450"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. E. Ward","raw_affiliation_strings":["Department of Mathematics and Stastistics, Miami University, Oxford, Ohio 45056-1641, U.S.A. (e-mail: wardde@muohio.edu), , , , , , US","Department of Mathematics and Stastistics, Miami University, Oxford, Ohio 45056-1641, U.S.A. (e-mail: wardde@muohio.edu), US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Stastistics, Miami University, Oxford, Ohio 45056-1641, U.S.A. (e-mail: wardde@muohio.edu), , , , , , US","institution_ids":["https://openalex.org/I83328450"]},{"raw_affiliation_string":"Department of Mathematics and Stastistics, Miami University, Oxford, Ohio 45056-1641, U.S.A. (e-mail: wardde@muohio.edu), US","institution_ids":["https://openalex.org/I83328450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109069614","display_name":"G. M. Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I8991828","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49","country_code":"KR","type":"education","lineage":["https://openalex.org/I8991828"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"G. M. Lee","raw_affiliation_strings":["Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea, , , , , , KR","Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea, , KR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea, , , , , , KR","institution_ids":["https://openalex.org/I8991828"]},{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea, , KR","institution_ids":["https://openalex.org/I8991828"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.4433,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.63999005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"53","issue":"2","first_page":"215","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9947999715805054,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9420999884605408,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tangent-cone","display_name":"Tangent cone","score":0.8332717418670654},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6988131999969482},{"id":"https://openalex.org/keywords/directional-derivative","display_name":"Directional derivative","score":0.6985815167427063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.694472074508667},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6333074569702148},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5601938962936401},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5436536073684692},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.4998600482940674},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.487298846244812},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46357160806655884},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.458376407623291},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.34905415773391724},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25479406118392944},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.21368035674095154},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1541392207145691},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14348351955413818}],"concepts":[{"id":"https://openalex.org/C149944404","wikidata":"https://www.wikidata.org/wiki/Q2392464","display_name":"Tangent cone","level":3,"score":0.8332717418670654},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6988131999969482},{"id":"https://openalex.org/C2011187","wikidata":"https://www.wikidata.org/wiki/Q383851","display_name":"Directional derivative","level":2,"score":0.6985815167427063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.694472074508667},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6333074569702148},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5601938962936401},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5436536073684692},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.4998600482940674},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.487298846244812},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46357160806655884},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.458376407623291},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.34905415773391724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25479406118392944},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.21368035674095154},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1541392207145691},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14348351955413818},{"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/s001860100112","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860100112","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research (ZOR)","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:53:y:2001:i:2:p:215-232","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001860100112","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2610307711","https://openalex.org/W1754393280","https://openalex.org/W4254702043","https://openalex.org/W4239576438","https://openalex.org/W4387170693","https://openalex.org/W2765895272","https://openalex.org/W2360247601","https://openalex.org/W2328835158","https://openalex.org/W2393675846","https://openalex.org/W2006688713"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}