{"id":"https://openalex.org/W2903766953","doi":"https://doi.org/10.1007/s10957-018-01456-w","title":"Lipschitz Modulus of the Optimal Value in Linear Programming","display_name":"Lipschitz Modulus of the Optimal Value in Linear Programming","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2903766953","doi":"https://doi.org/10.1007/s10957-018-01456-w","mag":"2903766953"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-01456-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-01456-w","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10016/32998","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053491282","display_name":"M. J. Gisbert","orcid":"https://orcid.org/0000-0002-2305-6416"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mar\u00eda Jes\u00fas Gisbert","raw_affiliation_strings":["Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060211619","display_name":"M. J. C\u00e1novas","orcid":"https://orcid.org/0000-0002-1320-485X"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mar\u00eda Josefa C\u00e1novas","raw_affiliation_strings":["Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084439364","display_name":"J. Parra","orcid":"https://orcid.org/0000-0001-8864-975X"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Juan Parra","raw_affiliation_strings":["Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain"],"raw_orcid":"https://orcid.org/0000-0001-8864-975X","affiliations":[{"raw_affiliation_string":"Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063233958","display_name":"F. Javier Toledo","orcid":"https://orcid.org/0000-0003-4949-1069"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Fco. Javier Toledo","raw_affiliation_strings":["Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Operations Research, Miguel Hern\u00e1ndez University of Elche, 03202, Elche, Alicante, Spain","institution_ids":["https://openalex.org/I111262870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084439364"],"corresponding_institution_ids":["https://openalex.org/I111262870"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2362,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82535581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"182","issue":"1","first_page":"133","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9979000091552734,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/calmness","display_name":"Calmness","score":0.8140459060668945},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8001440167427063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7985668778419495},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.6200205683708191},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6105349063873291},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.557792603969574},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5557330846786499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4905814230442047},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4677911698818207},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.45099353790283203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4141963720321655},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37270182371139526},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0980783998966217}],"concepts":[{"id":"https://openalex.org/C2778712213","wikidata":"https://www.wikidata.org/wiki/Q20740046","display_name":"Calmness","level":2,"score":0.8140459060668945},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8001440167427063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7985668778419495},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.6200205683708191},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6105349063873291},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.557792603969574},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5557330846786499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4905814230442047},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4677911698818207},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.45099353790283203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4141963720321655},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37270182371139526},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0980783998966217},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-018-01456-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-01456-w","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:e-archivo.uc3m.es:10016/32998","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/32998","pdf_url":"http://hdl.handle.net/10016/32998","source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:joptap:v:182:y:2019:i:1:d:10.1007_s10957-018-01456-w","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-01456-w","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":{"id":"pmh:oai:e-archivo.uc3m.es:10016/32998","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/32998","pdf_url":"http://hdl.handle.net/10016/32998","source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1832385080","display_name":null,"funder_award_id":"MTM2014-59179-C2-2-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G7889255376","display_name":null,"funder_award_id":"BES2015-073220","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2903766953.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W2189508","https://openalex.org/W83112366","https://openalex.org/W642611325","https://openalex.org/W1513869646","https://openalex.org/W1525781748","https://openalex.org/W1540131774","https://openalex.org/W1567995217","https://openalex.org/W1583089965","https://openalex.org/W1969908936","https://openalex.org/W1987898022","https://openalex.org/W1994984217","https://openalex.org/W2005007735","https://openalex.org/W2011232570","https://openalex.org/W2019698127","https://openalex.org/W2032112832","https://openalex.org/W2041551615","https://openalex.org/W2045979166","https://openalex.org/W2055069316","https://openalex.org/W2065114871","https://openalex.org/W2077136942","https://openalex.org/W2094683072","https://openalex.org/W2140402456","https://openalex.org/W2153562582","https://openalex.org/W2252863398","https://openalex.org/W2774032669","https://openalex.org/W2885312098","https://openalex.org/W3157341860","https://openalex.org/W4206111119","https://openalex.org/W4207005610","https://openalex.org/W4231183558","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2358490822","https://openalex.org/W3086329158","https://openalex.org/W4286813019","https://openalex.org/W3011250038","https://openalex.org/W2131815933","https://openalex.org/W2946213799","https://openalex.org/W2036833017","https://openalex.org/W2009214374","https://openalex.org/W2019985658","https://openalex.org/W2066792023"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}