{"id":"https://openalex.org/W1791808123","doi":"https://doi.org/10.1007/s10107-015-0967-1","title":"Convergence analysis of iterative methods for nonsmooth convex optimization over fixed point sets of quasi-nonexpansive mappings","display_name":"Convergence analysis of iterative methods for nonsmooth convex optimization over fixed point sets of quasi-nonexpansive mappings","publication_year":2015,"publication_date":"2015-12-15","ids":{"openalex":"https://openalex.org/W1791808123","doi":"https://doi.org/10.1007/s10107-015-0967-1","mag":"1791808123"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-015-0967-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-015-0967-1","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/A5016609320","display_name":"Hideaki Iiduka","orcid":"https://orcid.org/0000-0001-9173-6723"},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hideaki Iiduka","raw_affiliation_strings":["Department of Computer Science, Meiji University, Kawasaki-shi, Japan","Department of Computer Science, Meiji University, Kawasaki-shi, Japan 214-8571#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-9173-6723","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Meiji University, Kawasaki-shi, Japan","institution_ids":["https://openalex.org/I16656306"]},{"raw_affiliation_string":"Department of Computer Science, Meiji University, Kawasaki-shi, Japan 214-8571#TAB#","institution_ids":["https://openalex.org/I16656306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016609320"],"corresponding_institution_ids":["https://openalex.org/I16656306"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":3.6797,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.93205562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"159","issue":"1-2","first_page":"509","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9973000288009644,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9890999794006348,"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/subgradient-method","display_name":"Subgradient method","score":0.9324698448181152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7112648487091064},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5801581144332886},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.575117826461792},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5630201697349548},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5579789280891418},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5043522119522095},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5000033378601074},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4957042932510376},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4764014780521393},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4735740125179291},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4606265127658844},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.44357430934906006},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44122788310050964},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43816789984703064},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.42652127146720886},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4168599545955658},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.38604849576950073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3205302357673645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10585692524909973}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9324698448181152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7112648487091064},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5801581144332886},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.575117826461792},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5630201697349548},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5579789280891418},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5043522119522095},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5000033378601074},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4957042932510376},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4764014780521393},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4735740125179291},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4606265127658844},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.44357430934906006},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44122788310050964},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43816789984703064},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.42652127146720886},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4168599545955658},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.38604849576950073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3205302357673645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10585692524909973},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-015-0967-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-015-0967-1","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":[{"id":"https://openalex.org/G8791501049","display_name":"Distributed Fixed Point Subgradient Methods for Solving Large-scale, Complicated Network Resource Allocation Problems","funder_award_id":"15K04763","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W205960364","https://openalex.org/W1487976166","https://openalex.org/W1539945301","https://openalex.org/W1546168022","https://openalex.org/W1547403762","https://openalex.org/W1551892507","https://openalex.org/W1560700853","https://openalex.org/W1583497301","https://openalex.org/W1946620893","https://openalex.org/W1965013875","https://openalex.org/W1974228432","https://openalex.org/W1988795359","https://openalex.org/W1989626574","https://openalex.org/W2012180727","https://openalex.org/W2019569173","https://openalex.org/W2020532300","https://openalex.org/W2030618034","https://openalex.org/W2037124030","https://openalex.org/W2044212084","https://openalex.org/W2049659086","https://openalex.org/W2053487511","https://openalex.org/W2058532290","https://openalex.org/W2062059813","https://openalex.org/W2067313264","https://openalex.org/W2076428552","https://openalex.org/W2082473969","https://openalex.org/W2092507976","https://openalex.org/W2115321886","https://openalex.org/W2128038973","https://openalex.org/W2136517470","https://openalex.org/W2140655807","https://openalex.org/W2142280715","https://openalex.org/W2150306261","https://openalex.org/W2157566431","https://openalex.org/W2246091536","https://openalex.org/W2576831061","https://openalex.org/W2582171088","https://openalex.org/W2622705236","https://openalex.org/W2964168652","https://openalex.org/W3100489614","https://openalex.org/W4229650096","https://openalex.org/W4249667877","https://openalex.org/W4251401614"],"related_works":["https://openalex.org/W2465405765","https://openalex.org/W4297153560","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W2078980565","https://openalex.org/W2026392561","https://openalex.org/W1561297735","https://openalex.org/W4390862986","https://openalex.org/W2392510576","https://openalex.org/W2910556747"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
