{"id":"https://openalex.org/W4384666196","doi":"https://doi.org/10.1051/ro/2023101","title":"Proximal algorithm with quasidistances for multiobjective quasiconvex minimization in Riemannian manifolds","display_name":"Proximal algorithm with quasidistances for multiobjective quasiconvex minimization in Riemannian manifolds","publication_year":2023,"publication_date":"2023-07-01","ids":{"openalex":"https://openalex.org/W4384666196","doi":"https://doi.org/10.1051/ro/2023101"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2023101","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023101","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230238.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230238.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013699020","display_name":"Erik Alex Papa Quiroz","orcid":"https://orcid.org/0000-0002-8678-6918"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Erik Alex Papa Quiroz","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068040320","display_name":"Rog\u00e9rio Azevedo Rocha","orcid":"https://orcid.org/0000-0003-2915-8496"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rog\u00e9rio Azevedo Rocha","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024492269","display_name":"Paulo Oliveira","orcid":"https://orcid.org/0000-0002-5799-390X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paulo Oliveira","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5048524292","display_name":"Ronaldo Malheiros Greg\u00f3rio","orcid":"https://orcid.org/0000-0003-2229-0523"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ronaldo Greg\u00f3rio","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013699020"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6083,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71429047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"57","issue":"4","first_page":"2301","last_page":"2314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9678000211715698,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9674000144004822,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/quasiconvex-function","display_name":"Quasiconvex function","score":0.9102044105529785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.623936653137207},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.57599937915802},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5549097657203674},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5138516426086426},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5029439330101013},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4627625346183777},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.390936940908432},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3370605409145355},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3296511173248291},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2703731656074524},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.22894397377967834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18087178468704224}],"concepts":[{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.9102044105529785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.623936653137207},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.57599937915802},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5549097657203674},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5138516426086426},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5029439330101013},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4627625346183777},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.390936940908432},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3370605409145355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3296511173248291},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2703731656074524},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.22894397377967834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18087178468704224}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2023101","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023101","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230238.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2023101","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023101","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230238.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384666196.pdf","grobid_xml":"https://content.openalex.org/works/W4384666196.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1964689026","https://openalex.org/W1965030319","https://openalex.org/W1968447369","https://openalex.org/W1987964049","https://openalex.org/W1996697698","https://openalex.org/W1998770947","https://openalex.org/W2007556045","https://openalex.org/W2014234363","https://openalex.org/W2022164193","https://openalex.org/W2024296368","https://openalex.org/W2038497950","https://openalex.org/W2045969796","https://openalex.org/W2046019310","https://openalex.org/W2048061283","https://openalex.org/W2065103551","https://openalex.org/W2080752182","https://openalex.org/W2141519660","https://openalex.org/W2144322083","https://openalex.org/W2149104538","https://openalex.org/W2153562582","https://openalex.org/W2154167715","https://openalex.org/W2239703712","https://openalex.org/W2508791842","https://openalex.org/W2539212969","https://openalex.org/W2808090700","https://openalex.org/W2888482791","https://openalex.org/W2963972749","https://openalex.org/W2976862921","https://openalex.org/W3046702492","https://openalex.org/W3106175764","https://openalex.org/W4200349173","https://openalex.org/W4205293427","https://openalex.org/W4206033904","https://openalex.org/W4235476591","https://openalex.org/W4246883249"],"related_works":["https://openalex.org/W2371757614","https://openalex.org/W2039848558","https://openalex.org/W2353108772","https://openalex.org/W2063287401","https://openalex.org/W4251085027","https://openalex.org/W2386776468","https://openalex.org/W4232994841","https://openalex.org/W2384568502","https://openalex.org/W2391571456","https://openalex.org/W4226423776"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,45],"proximal":[3],"algorithm":[4,73],"using":[5,22,57],"quasidistances":[6,23,43],"for":[7],"multiobjective":[8],"minimization":[9],"problems":[10],"with":[11],"quasiconvex":[12],"functions":[13,82],"defined":[14],"in":[15,34],"arbitrary":[16],"Riemannian":[17,28,60],"manifolds.":[18],"The":[19],"reason":[20],"of":[21,25,59,67,78],"instead":[24],"the":[26,32,42,54,68,72,75,81],"classical":[27],"distance":[29],"comes":[30],"from":[31],"applications":[33],"economy,":[35],"computer":[36],"science":[37],"and":[38,56],"behavioral":[39],"sciences,":[40],"where":[41],"represent":[44],"non":[46],"symmetric":[47],"measure.":[48],"Under":[49],"some":[50],"appropriate":[51],"assumptions":[52],"on":[53],"problem":[55],"tools":[58],"geometry":[61],"we":[62],"prove":[63],"that":[64],"accumulation":[65],"points":[66,87],"sequence":[69],"generated":[70],"by":[71],"satisfy":[74],"critical":[76],"condition":[77],"Pareto-Clarke.":[79],"If":[80],"are":[83,88],"convex":[84],"then":[85],"these":[86],"Pareto":[89],"efficient":[90],"solutions.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
