{"id":"https://openalex.org/W2962957542","doi":"https://doi.org/10.1007/s10107-016-1076-5","title":"On Douglas\u2013Rachford operators that fail to be proximal mappings","display_name":"On Douglas\u2013Rachford operators that fail to be proximal mappings","publication_year":2016,"publication_date":"2016-10-12","ids":{"openalex":"https://openalex.org/W2962957542","doi":"https://doi.org/10.1007/s10107-016-1076-5","mag":"2962957542"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-016-1076-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-016-1076-5","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5106498524","display_name":"Heinz H. Bauschke","orcid":"https://orcid.org/0000-0002-4155-9930"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Heinz H. Bauschke","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Kelowna, B.C., V1V 1V7, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Kelowna, B.C., V1V 1V7, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008060941","display_name":"Jason Schaad","orcid":null},"institutions":[{"id":"https://openalex.org/I198387804","display_name":"Okanagan College","ror":"https://ror.org/04k2ezm16","country_code":"CA","type":"education","lineage":["https://openalex.org/I198387804"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jason Schaad","raw_affiliation_strings":["Department of Mathematics and Statistics, Okanagan College, 1000 K.L.O. Road, Kelowna, B.C., V1Y 4X8, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Okanagan College, 1000 K.L.O. Road, Kelowna, B.C., V1Y 4X8, Canada","institution_ids":["https://openalex.org/I198387804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005122439","display_name":"Xianfu Wang","orcid":"https://orcid.org/0000-0002-2066-7473"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xianfu Wang","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Kelowna, B.C., V1V 1V7, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Kelowna, B.C., V1V 1V7, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5106498524"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3596,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72130317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"168","issue":"1-2","first_page":"55","last_page":"61"},"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":0.9944999814033508,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/mathematics","display_name":"Mathematics","score":0.7559664845466614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44297581911087036},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4408387839794159},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36634618043899536},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33660954236984253},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.278043270111084},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.10062143206596375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7559664845466614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44297581911087036},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4408387839794159},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36634618043899536},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33660954236984253},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.278043270111084},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10062143206596375},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-016-1076-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-016-1076-5","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W85096072","https://openalex.org/W147294779","https://openalex.org/W205960364","https://openalex.org/W345014192","https://openalex.org/W431634462","https://openalex.org/W592924277","https://openalex.org/W1499439642","https://openalex.org/W1525779601","https://openalex.org/W1953936588","https://openalex.org/W2006262045","https://openalex.org/W2019569173","https://openalex.org/W2038497950","https://openalex.org/W2054917294","https://openalex.org/W2058532290","https://openalex.org/W2069491950","https://openalex.org/W2099679613","https://openalex.org/W2101393121","https://openalex.org/W2121562066","https://openalex.org/W2153719359","https://openalex.org/W2169159866","https://openalex.org/W2290388261","https://openalex.org/W4229650096","https://openalex.org/W4240520568","https://openalex.org/W4249667877","https://openalex.org/W4301345353","https://openalex.org/W4303084602"],"related_works":["https://openalex.org/W4230623537","https://openalex.org/W2090649758","https://openalex.org/W2063488590","https://openalex.org/W2963070987","https://openalex.org/W2045490848","https://openalex.org/W1987949650","https://openalex.org/W2332694326","https://openalex.org/W4249089511","https://openalex.org/W4287734682","https://openalex.org/W2913338188"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
