{"id":"https://openalex.org/W2960148392","doi":"https://doi.org/10.1007/s10957-019-01628-2","title":"Bregman Proximal Mappings and Bregman\u2013Moreau Envelopes Under Relative Prox-Regularity","display_name":"Bregman Proximal Mappings and Bregman\u2013Moreau Envelopes Under Relative Prox-Regularity","publication_year":2020,"publication_date":"2020-01-31","ids":{"openalex":"https://openalex.org/W2960148392","doi":"https://doi.org/10.1007/s10957-019-01628-2","mag":"2960148392"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-019-01628-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01628-2","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.04306","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006959568","display_name":"Emanuel Laude","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Emanuel Laude","raw_affiliation_strings":["Technical University of Munich, Munich, Germany","Technical University of Munich"],"raw_orcid":"https://orcid.org/0000-0002-9106-2690","affiliations":[{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082194697","display_name":"Peter Ochs","orcid":"https://orcid.org/0000-0002-4880-7511"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Ochs","raw_affiliation_strings":["Saarland University, Saarbr\u00fccken, Germany","Saarland Univ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Saarland University, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Saarland Univ,","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087710605","display_name":"Daniel Cremers","orcid":"https://orcid.org/0000-0002-3079-7984"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Cremers","raw_affiliation_strings":["Technical University of Munich, Munich, Germany","Technical University of Munich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006959568"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02210551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"184","issue":"3","first_page":"724","last_page":"761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9979000091552734,"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":0.9979000091552734,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.96670001745224,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9610999822616577,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/bregman-divergence","display_name":"Bregman divergence","score":0.9399891495704651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6541677713394165},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4488152861595154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37484210729599},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10446277260780334}],"concepts":[{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.9399891495704651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6541677713394165},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4488152861595154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37484210729599},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10446277260780334}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10957-019-01628-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01628-2","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:arXiv.org:1907.04306","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.04306","pdf_url":"https://arxiv.org/pdf/1907.04306","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2960148392","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.04306.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:spr:joptap:v:184:y:2020:i:3:d:10.1007_s10957-019-01628-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-019-01628-2","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"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1653147","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1653147","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"doi:10.48550/arxiv.1907.04306","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.04306","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.04306","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.04306","pdf_url":"https://arxiv.org/pdf/1907.04306","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W292990780","https://openalex.org/W647420057","https://openalex.org/W1503464393","https://openalex.org/W1505731132","https://openalex.org/W1511503348","https://openalex.org/W1517403807","https://openalex.org/W1573659356","https://openalex.org/W1953936588","https://openalex.org/W1994325185","https://openalex.org/W2004304255","https://openalex.org/W2009274429","https://openalex.org/W2013268819","https://openalex.org/W2016456744","https://openalex.org/W2017680740","https://openalex.org/W2019794879","https://openalex.org/W2027711030","https://openalex.org/W2027982384","https://openalex.org/W2032760947","https://openalex.org/W2033468335","https://openalex.org/W2044811379","https://openalex.org/W2067272684","https://openalex.org/W2067825212","https://openalex.org/W2089725613","https://openalex.org/W2092492084","https://openalex.org/W2112980792","https://openalex.org/W2129732816","https://openalex.org/W2155583876","https://openalex.org/W2158902838","https://openalex.org/W2163803752","https://openalex.org/W2188004715","https://openalex.org/W2281625358","https://openalex.org/W2535496140","https://openalex.org/W2551153860","https://openalex.org/W2556865042","https://openalex.org/W2615804618","https://openalex.org/W2916900753","https://openalex.org/W2926523766","https://openalex.org/W2962834223","https://openalex.org/W2963652858","https://openalex.org/W2963967579","https://openalex.org/W2964211254","https://openalex.org/W2964231806","https://openalex.org/W2971011299","https://openalex.org/W2976223356","https://openalex.org/W3047315672","https://openalex.org/W3199833873","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W6601216650"],"related_works":["https://openalex.org/W2137252934","https://openalex.org/W3003937590","https://openalex.org/W3184536587","https://openalex.org/W1604467579","https://openalex.org/W2006981104","https://openalex.org/W1984826475","https://openalex.org/W2021784794","https://openalex.org/W2118690500","https://openalex.org/W2062525688","https://openalex.org/W2807406302","https://openalex.org/W2184840440","https://openalex.org/W1978407108","https://openalex.org/W2247564929","https://openalex.org/W3130060520","https://openalex.org/W2998946252","https://openalex.org/W2239298885","https://openalex.org/W2183714747","https://openalex.org/W2101166422","https://openalex.org/W2170061060","https://openalex.org/W1990675706"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
