{"id":"https://openalex.org/W2000119973","doi":"https://doi.org/10.1007/s101070050095","title":"On existence and uniqueness of stationary points in semi-infinite optimization","display_name":"On existence and uniqueness of stationary points in semi-infinite optimization","publication_year":1999,"publication_date":"1999-11-01","ids":{"openalex":"https://openalex.org/W2000119973","doi":"https://doi.org/10.1007/s101070050095","mag":"2000119973"},"language":"en","primary_location":{"id":"doi:10.1007/s101070050095","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050095","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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 Programming","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/A5062724317","display_name":"Jan-J. R\u00fcckmann","orcid":"https://orcid.org/0000-0002-9440-3294"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jan-J. R\u00fcckmann","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Zentrum Mathematik, D-80290 M\u00fcnchen, Germany\u00b6e-mail: rueckman@appl-math.tu-muenchen.de., , , , , , DE","Technische Universit\u00e4t M\u00fcnchen, Zentrum Mathematik, D-80290 M\u00fcnchen, Germany\u00b6e-mail: rueckman@appl-math.tu-muenchen.de., DE"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Zentrum Mathematik, D-80290 M\u00fcnchen, Germany\u00b6e-mail: rueckman@appl-math.tu-muenchen.de., , , , , , DE","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Zentrum Mathematik, D-80290 M\u00fcnchen, Germany\u00b6e-mail: rueckman@appl-math.tu-muenchen.de., DE","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062724317"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4652,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.80851965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"86","issue":"2","first_page":"387","last_page":"415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9987999796867371,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9951000213623047,"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/mathematics","display_name":"Mathematics","score":0.8928983211517334},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8713724613189697},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.7103880047798157},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6550927758216858},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4507659375667572},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4426073431968689},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43757307529449463},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4186505079269409},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4176592528820038},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38836950063705444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34281665086746216},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06763976812362671}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8928983211517334},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8713724613189697},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.7103880047798157},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6550927758216858},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4507659375667572},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4426073431968689},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43757307529449463},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4186505079269409},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4176592528820038},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38836950063705444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34281665086746216},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06763976812362671},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s101070050095","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050095","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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 Programming","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/44d41dd1-0dd2-45f1-9bf9-1cbfdbb3f3b1","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/44d41dd1-0dd2-45f1-9bf9-1cbfdbb3f3b1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ruckmann, J-J 1999, 'On existence and uniqueness of stationary points in semi-infinite optimization', Mathematical Programming, vol. 86, no. 2, pp. 387-416.","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W6322863","https://openalex.org/W187928793","https://openalex.org/W938611571","https://openalex.org/W1522020530","https://openalex.org/W1551360398","https://openalex.org/W1580929723","https://openalex.org/W1603490027","https://openalex.org/W1607072065","https://openalex.org/W1964794414","https://openalex.org/W1977898090","https://openalex.org/W1977904123","https://openalex.org/W1980145057","https://openalex.org/W1992688650","https://openalex.org/W1993613781","https://openalex.org/W1993647205","https://openalex.org/W2004938290","https://openalex.org/W2015308984","https://openalex.org/W2022853838","https://openalex.org/W2028773482","https://openalex.org/W2038398448","https://openalex.org/W2050658628","https://openalex.org/W2053653133","https://openalex.org/W2055704999","https://openalex.org/W2064768527","https://openalex.org/W2074771309","https://openalex.org/W2075887074","https://openalex.org/W2080615608","https://openalex.org/W2083030901","https://openalex.org/W2093488901","https://openalex.org/W2111948593","https://openalex.org/W2144181355","https://openalex.org/W2161669229","https://openalex.org/W2161902547","https://openalex.org/W2519881014","https://openalex.org/W2531699496"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W3092127437"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}