{"id":"https://openalex.org/W1984826475","doi":"https://doi.org/10.1007/s10898-012-9996-y","title":"An extension of the proximal point algorithm with Bregman distances on Hadamard manifolds","display_name":"An extension of the proximal point algorithm with Bregman distances on Hadamard manifolds","publication_year":2012,"publication_date":"2012-10-20","ids":{"openalex":"https://openalex.org/W1984826475","doi":"https://doi.org/10.1007/s10898-012-9996-y","mag":"1984826475"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-012-9996-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9996-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5013699020","display_name":"Erik Alex Papa Quiroz","orcid":"https://orcid.org/0000-0002-8678-6918"},"institutions":[{"id":"https://openalex.org/I3129917895","display_name":"National University of Callao","ror":"https://ror.org/01d03q474","country_code":"PE","type":"education","lineage":["https://openalex.org/I3129917895"]},{"id":"https://openalex.org/I192513696","display_name":"National University of San Marcos","ror":"https://ror.org/006vs7897","country_code":"PE","type":"education","lineage":["https://openalex.org/I192513696"]}],"countries":["PE"],"is_corresponding":true,"raw_author_name":"E. A. Papa Quiroz","raw_affiliation_strings":["Universidad Nacional del Callao, Universidad Nacional Mayor de San Marcos, Lima, Peru","Universidad Nacional del Callao, Universidad Nacional Mayor de San Marcos, Lima, Peru#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Nacional del Callao, Universidad Nacional Mayor de San Marcos, Lima, Peru","institution_ids":["https://openalex.org/I192513696","https://openalex.org/I3129917895"]},{"raw_affiliation_string":"Universidad Nacional del Callao, Universidad Nacional Mayor de San Marcos, Lima, Peru#TAB#","institution_ids":["https://openalex.org/I192513696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013699020"],"corresponding_institution_ids":["https://openalex.org/I192513696","https://openalex.org/I3129917895"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.6364,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8047056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"56","issue":"1","first_page":"43","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9611999988555908,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9611999988555908,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.95660001039505,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9476000070571899,"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/mathematics","display_name":"Mathematics","score":0.8330838680267334},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6690871715545654},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.6486641764640808},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5876306891441345},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.5597166419029236},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.5546301603317261},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.538152277469635},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.5043991804122925},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.500964879989624},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4904601275920868},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.478130966424942},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4459444582462311},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4255879819393158},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4205728769302368},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.40193721652030945},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38845670223236084},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.22739312052726746},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.2119835913181305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1419215202331543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1399971842765808},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0805264413356781}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8330838680267334},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6690871715545654},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.6486641764640808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5876306891441345},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.5597166419029236},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.5546301603317261},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.538152277469635},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.5043991804122925},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.500964879989624},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4904601275920868},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.478130966424942},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4459444582462311},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4255879819393158},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4205728769302368},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.40193721652030945},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38845670223236084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.22739312052726746},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.2119835913181305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1419215202331543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1399971842765808},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0805264413356781},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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":2,"locations":[{"id":"doi:10.1007/s10898-012-9996-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9996-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:56:y:2013:i:1:p:43-59","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-012-9996-y","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1984958640","https://openalex.org/W2004304255","https://openalex.org/W2007556045","https://openalex.org/W2033468335","https://openalex.org/W2038466136","https://openalex.org/W2067272684","https://openalex.org/W2082334903","https://openalex.org/W2090376964","https://openalex.org/W2133301611","https://openalex.org/W2166443729","https://openalex.org/W2611293703","https://openalex.org/W3038420293","https://openalex.org/W3040283615","https://openalex.org/W4206033904","https://openalex.org/W4235476591","https://openalex.org/W4246883249","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2974373334","https://openalex.org/W4310043907","https://openalex.org/W3175130380","https://openalex.org/W2905950575","https://openalex.org/W4386255069","https://openalex.org/W2954041209","https://openalex.org/W2901876733","https://openalex.org/W2963202610","https://openalex.org/W2024265476","https://openalex.org/W2964211254"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
