{"id":"https://openalex.org/W197205710","doi":"https://doi.org/10.1007/978-0-387-74759-0_697","title":"Variational Inequalities: Geometric Interpretation, Existence and Uniqueness","display_name":"Variational Inequalities: Geometric Interpretation, Existence and Uniqueness","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W197205710","doi":"https://doi.org/10.1007/978-0-387-74759-0_697","mag":"197205710"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_697","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_697","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"},"type":"book-chapter","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/A5072294897","display_name":"Anna Nagurney","orcid":"https://orcid.org/0000-0002-1645-5363"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Anna Nagurney","raw_affiliation_strings":["University Massachusetts, Amherst, USA"],"affiliations":[{"raw_affiliation_string":"University Massachusetts, Amherst, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072294897"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.05105747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3999","last_page":"4002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9941999912261963,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9941999912261963,"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/T11201","display_name":"Metallurgy and Material Forming","score":0.9386000037193298,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8526215553283691},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.7967019081115723},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6101245880126953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5629628896713257},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4980897903442383},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4559723138809204},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4056209325790405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33680105209350586},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3344060182571411},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.16111040115356445},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08557403087615967},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.08412280678749084},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.03465411067008972}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8526215553283691},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.7967019081115723},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6101245880126953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5629628896713257},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4980897903442383},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4559723138809204},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4056209325790405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33680105209350586},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3344060182571411},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.16111040115356445},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08557403087615967},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.08412280678749084},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.03465411067008972}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_697","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_697","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"}],"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W3106670204","https://openalex.org/W4298358184"],"related_works":["https://openalex.org/W4226101702","https://openalex.org/W3161443230","https://openalex.org/W2391886737","https://openalex.org/W1580457725","https://openalex.org/W2387544841","https://openalex.org/W2767069574","https://openalex.org/W2095132479","https://openalex.org/W3045127812","https://openalex.org/W4200609443","https://openalex.org/W2087395843"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
