{"id":"https://openalex.org/W2062806793","doi":"https://doi.org/10.1007/bf01498332","title":"Solving nonsmooth inclusions in the convex case","display_name":"Solving nonsmooth inclusions in the convex case","publication_year":1991,"publication_date":"1991-09-01","ids":{"openalex":"https://openalex.org/W2062806793","doi":"https://doi.org/10.1007/bf01498332","mag":"2062806793"},"language":"en","primary_location":{"id":"doi:10.1007/bf01498332","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01498332","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"ZOR - Methods and Models of Operations Research","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/A5020668263","display_name":"Huynh The Phung","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]},{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}],"countries":["BY","VN"],"is_corresponding":false,"raw_author_name":"H. The Phung","raw_affiliation_strings":["Institute of Mathematics, P.O.Box 631, Bo Ho, Hano, Vietnam","Institute of Mathematics, Bo Ho, Hano, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, P.O.Box 631, Bo Ho, Hano, Vietnam","institution_ids":["https://openalex.org/I4210105280"]},{"raw_affiliation_string":"Institute of Mathematics, Bo Ho, Hano, Vietnam","institution_ids":["https://openalex.org/I4210148301"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044033497","display_name":"Pham Huy Dien","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]},{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}],"countries":["BY","VN"],"is_corresponding":false,"raw_author_name":"P. Huy Dien","raw_affiliation_strings":["Institute of Mathematics, P.O.Box 631, Bo Ho, Hano, Vietnam","Institute of Mathematics, Bo Ho, Hano, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, P.O.Box 631, Bo Ho, Hano, Vietnam","institution_ids":["https://openalex.org/I4210105280"]},{"raw_affiliation_string":"Institute of Mathematics, Bo Ho, Hano, Vietnam","institution_ids":["https://openalex.org/I4210148301"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25195901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"5","first_page":"401","last_page":"424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9742000102996826,"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":0.7685352563858032},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6966278553009033},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6475033164024353},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6147515773773193},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.5011568069458008},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4846992492675781},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4676857590675354},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45572441816329956},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42173323035240173},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4103512465953827},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3452419340610504},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3121897876262665},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30667829513549805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11352649331092834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09244430065155029}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7685352563858032},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6966278553009033},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6475033164024353},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6147515773773193},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.5011568069458008},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4846992492675781},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4676857590675354},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45572441816329956},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42173323035240173},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4103512465953827},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3452419340610504},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3121897876262665},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30667829513549805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11352649331092834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09244430065155029},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01498332","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01498332","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"ZOR - Methods and Models of Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W25288802","https://openalex.org/W35636098","https://openalex.org/W285810122","https://openalex.org/W1484024929","https://openalex.org/W1989449043","https://openalex.org/W2120231703","https://openalex.org/W2130469840","https://openalex.org/W2595644070","https://openalex.org/W2787523326"],"related_works":["https://openalex.org/W2356261519","https://openalex.org/W3092518081","https://openalex.org/W2163587786","https://openalex.org/W4382519084","https://openalex.org/W2002037426","https://openalex.org/W2478309485","https://openalex.org/W4308919616","https://openalex.org/W3020982396","https://openalex.org/W2985749225","https://openalex.org/W2040676043"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}