{"id":"https://openalex.org/W1994883751","doi":"https://doi.org/10.1137/s1052623497319869","title":"Stability and Well-Posedness in Linear Semi-Infinite Programming","display_name":"Stability and Well-Posedness in Linear Semi-Infinite Programming","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1994883751","doi":"https://doi.org/10.1137/s1052623497319869","mag":"1994883751"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623497319869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623497319869","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10045/75607","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060211619","display_name":"M. J. C\u00e1novas","orcid":"https://orcid.org/0000-0002-1320-485X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. J. C\u00e1novas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715600","display_name":"Marco A. L\u00f3pez","orcid":"https://orcid.org/0000-0002-0619-9618"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. L\u00f3pez","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Alicante, 03071 Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Alicante, 03071 Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"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":false,"raw_author_name":"J. Parra","raw_affiliation_strings":["Department of Statistics and Applied Mathematics, Miguel Hern\u00e1ndez University, 03202 Elche (Alicante), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Applied Mathematics, Miguel Hern\u00e1ndez University, 03202 Elche (Alicante), Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010829936","display_name":"M. I. Todorov","orcid":null},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"M. I. Todorov","raw_affiliation_strings":["Bulgarian Academy of Sciences, Institute of Mathematics, 29 Ph. Macedonsky Str., r. 401, 4002 Plovdiv, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bulgarian Academy of Sciences, Institute of Mathematics, 29 Ph. Macedonsky Str., r. 401, 4002 Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9395,"has_fulltext":true,"cited_by_count":65,"citation_normalized_percentile":{"value":0.9031438,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"82","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9847999811172485,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9323999881744385,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/mathematics","display_name":"Mathematics","score":0.8823604583740234},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.6838173866271973},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.58669513463974},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5751602053642273},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.551911473274231},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5350597500801086},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5250009298324585},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5055117607116699},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.4837205708026886},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48301801085472107},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.46624818444252014},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.46452009677886963},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4322344660758972},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4272296130657196},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4128493666648865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3961103856563568},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20190000534057617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16054266691207886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08606165647506714}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8823604583740234},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6838173866271973},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.58669513463974},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5751602053642273},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.551911473274231},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5350597500801086},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5250009298324585},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5055117607116699},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.4837205708026886},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48301801085472107},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.46624818444252014},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.46452009677886963},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4322344660758972},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4272296130657196},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4128493666648865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3961103856563568},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20190000534057617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16054266691207886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08606165647506714},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1052623497319869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623497319869","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:dnet:ruarepositor::f830d92f8ed4f9a51e979aeb8e245cd1","is_oa":true,"landing_page_url":"http://hdl.handle.net/10045/75607","pdf_url":"http://hdl.handle.net/10045/75607","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:ruarepositor::f830d92f8ed4f9a51e979aeb8e245cd1","is_oa":true,"landing_page_url":"http://hdl.handle.net/10045/75607","pdf_url":"http://hdl.handle.net/10045/75607","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321864","display_name":"Generalitat Valenciana","ror":"https://ror.org/0097mvx21"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1994883751.pdf","grobid_xml":"https://content.openalex.org/works/W1994883751.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W75878429","https://openalex.org/W1540131774","https://openalex.org/W1965700306","https://openalex.org/W1966621956","https://openalex.org/W1972379544","https://openalex.org/W1977898090","https://openalex.org/W1991726512","https://openalex.org/W2011451855","https://openalex.org/W2035284071","https://openalex.org/W2038398448","https://openalex.org/W2065012719","https://openalex.org/W2070716761","https://openalex.org/W2085515216","https://openalex.org/W2094683072"],"related_works":["https://openalex.org/W2884127194","https://openalex.org/W930615311","https://openalex.org/W2392105230","https://openalex.org/W1977310087","https://openalex.org/W2057305555","https://openalex.org/W2128208703","https://openalex.org/W2969512097","https://openalex.org/W2771573511","https://openalex.org/W2041712909","https://openalex.org/W2036801487"],"abstract_inverted_index":{"This":[0],"paper":[1,86,127],"presents":[2],"an":[3,74],"approach":[4],"to":[5,26,77,130],"the":[6,9,13,27,31,35,39,55,65,79,82,85,87,90,96,113,116,126,134,138,146,156,159,166,171,175,179],"stability":[7,144,167],"and":[8,42,69,94],"Hadamard":[10,107],"well-posedness":[11],"of":[12,30,57,81,89,95,106,115,137,145,158,178],"linear":[14,40],"semi-infinite":[15],"programming":[16],"problem":[17],"(LSIP).":[18],"No":[19],"standard":[20],"hypothesis":[21],"is":[22,119],"required":[23],"in":[24,72,125],"relation":[25],"set":[28,56,98,140,181],"indexing":[29],"constraints":[32,41],"and,":[33],"consequently,":[34],"functional":[36],"dependence":[37],"between":[38],"their":[43],"associated":[44],"indices":[45],"has":[46],"no":[47],"special":[48],"property.":[49],"We":[50],"consider,":[51],"as":[52],"parameter":[53],"space,":[54],"all":[58,165],"LSIP":[59],"problems":[60],"whose":[61],"constraint":[62],"systems":[63],"have":[64],"same":[66],"index":[67],"set,":[68,118],"we":[70],"define":[71],"it":[73],"extended":[75],"metric":[76],"measure":[78],"size":[80],"perturbations.":[83],"Throughout":[84],"behavior":[88],"optimal":[91,97,117,160,180],"value":[92],"function":[93],"mapping":[99,141],"are":[100],"analyzed.":[101],"Moreover,":[102],"a":[103],"certain":[104],"type":[105],"well-posedness,":[108],"which":[109],"does":[110],"not":[111],"require":[112],"boundedness":[114,157],"characterized.":[120],"The":[121],"main":[122],"results":[123],"provided":[124],"allow":[128],"us":[129],"point":[131],"out":[132],"that":[133],"lower":[135,176],"semicontinuity":[136,177],"feasible":[139],"entails":[142],"high":[143],"whole":[147],"problem,":[148],"mainly":[149],"when":[150],"this":[151,163],"property":[152],"occurs":[153],"simultaneously":[154],"with":[155,170],"set.":[161],"In":[162],"case":[164],"properties":[168],"hold,":[169],"only":[172],"exception":[173],"being":[174],"mapping.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
