{"id":"https://openalex.org/W2018440030","doi":"https://doi.org/10.1007/bf01920037","title":"Characterization of weakly efficient points","display_name":"Characterization of weakly efficient points","publication_year":1988,"publication_date":"1988-11-01","ids":{"openalex":"https://openalex.org/W2018440030","doi":"https://doi.org/10.1007/bf01920037","mag":"2018440030"},"language":"de","primary_location":{"id":"doi:10.1007/bf01920037","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01920037","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":"Zeitschrift f\u00fcr Operations 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/A5012957273","display_name":"Gabriele Heinecke","orcid":null},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"G. Heinecke","raw_affiliation_strings":["Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Postfach 2428, D-6800, Mannheim 1","Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Mannheim 1,"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Postfach 2428, D-6800, Mannheim 1","institution_ids":["https://openalex.org/I177802217"]},{"raw_affiliation_string":"Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Mannheim 1,","institution_ids":["https://openalex.org/I177802217"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068494854","display_name":"W. Oettli","orcid":null},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"W. Oettli","raw_affiliation_strings":["Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Postfach 2428, D-6800, Mannheim 1","Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Mannheim 1,"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Postfach 2428, D-6800, Mannheim 1","institution_ids":["https://openalex.org/I177802217"]},{"raw_affiliation_string":"Lehrstuhl f\u00fcr Mathematik VII, Universit\u00e4t Mannheim, Mannheim 1,","institution_ids":["https://openalex.org/I177802217"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012957273"],"corresponding_institution_ids":["https://openalex.org/I177802217"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5352,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62587519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"32","issue":"6","first_page":"375","last_page":"393"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9977999925613403,"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":0.9977999925613403,"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":0.9836999773979187,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/characterization","display_name":"Characterization (materials science)","score":0.7493518590927124},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6743309497833252},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6141198873519897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5521529912948608},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4679509401321411},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.445764422416687},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4420740306377411},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4157828092575073},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39704790711402893},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3690621256828308},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1537247598171234},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06925123929977417}],"concepts":[{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7493518590927124},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6743309497833252},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6141198873519897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5521529912948608},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4679509401321411},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.445764422416687},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4420740306377411},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4157828092575073},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39704790711402893},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3690621256828308},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1537247598171234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06925123929977417},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bf01920037","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01920037","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":"Zeitschrift f\u00fcr Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:ub-madoc.bib.uni-mannheim.de:1958","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401433","display_name":"MADOC (University of Mannheim)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177802217","host_organization_name":"University of Mannheim","host_organization_lineage":["https://openalex.org/I177802217"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:MAUB:1958","is_oa":false,"landing_page_url":"http://madoc.bib.uni-mannheim.de/madoc/volltexte/2008/1958/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401433","display_name":"MADOC (University of Mannheim)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177802217","host_organization_name":"University of Mannheim","host_organization_lineage":["https://openalex.org/I177802217"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mannheimer Manuskripte ; 070","raw_type":"ResearchPaper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2061665702","https://openalex.org/W2093404847","https://openalex.org/W2487008371","https://openalex.org/W2912337120","https://openalex.org/W4237731557","https://openalex.org/W4242859866"],"related_works":["https://openalex.org/W2356261519","https://openalex.org/W2026600343","https://openalex.org/W4382519084","https://openalex.org/W2478309485","https://openalex.org/W3092518081","https://openalex.org/W2391247224","https://openalex.org/W2002037426","https://openalex.org/W1978014154","https://openalex.org/W3020982396","https://openalex.org/W2040676043"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
