{"id":"https://openalex.org/W4391540420","doi":"https://doi.org/10.1080/10556788.2024.2307470","title":"Three-operator reflected forward-backward splitting algorithm with double inertial effects","display_name":"Three-operator reflected forward-backward splitting algorithm with double inertial effects","publication_year":2024,"publication_date":"2024-02-05","ids":{"openalex":"https://openalex.org/W4391540420","doi":"https://doi.org/10.1080/10556788.2024.2307470"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2024.2307470","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2024.2307470","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5027393091","display_name":"Qiao\u2010Li Dong","orcid":"https://orcid.org/0000-0001-6765-4437"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiao-Li Dong","raw_affiliation_strings":["College of Science, Civil Aviation University of China, Tianjin, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, Civil Aviation University of China, Tianjin, People's Republic of China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083956383","display_name":"Min Su","orcid":"https://orcid.org/0000-0002-0231-878X"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Su","raw_affiliation_strings":["College of Science, Civil Aviation University of China, Tianjin, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, Civil Aviation University of China, Tianjin, People's Republic of China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022937282","display_name":"Yekini Shehu","orcid":"https://orcid.org/0000-0001-9224-7139"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yekini Shehu","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, People's Republic of China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022937282"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":5.5085,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.96401963,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"39","issue":"2","first_page":"431","last_page":"456"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.996399998664856,"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/operator-splitting","display_name":"Operator splitting","score":0.6695080995559692},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6045560240745544},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5373145341873169},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.5279920101165771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44291767477989197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3429625630378723},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2974908947944641},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24954280257225037},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.1656377613544464},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06988969445228577}],"concepts":[{"id":"https://openalex.org/C2987355758","wikidata":"https://www.wikidata.org/wiki/Q25037251","display_name":"Operator splitting","level":2,"score":0.6695080995559692},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6045560240745544},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5373145341873169},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5279920101165771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44291767477989197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3429625630378723},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2974908947944641},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24954280257225037},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.1656377613544464},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06988969445228577},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2024.2307470","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2024.2307470","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W322738573","https://openalex.org/W1560858410","https://openalex.org/W1946620893","https://openalex.org/W1953936588","https://openalex.org/W1988720110","https://openalex.org/W1989464734","https://openalex.org/W1998991750","https://openalex.org/W2003372231","https://openalex.org/W2006262045","https://openalex.org/W2019569173","https://openalex.org/W2026130361","https://openalex.org/W2027744538","https://openalex.org/W2030254567","https://openalex.org/W2038497950","https://openalex.org/W2055467852","https://openalex.org/W2092663520","https://openalex.org/W2095980290","https://openalex.org/W2100556411","https://openalex.org/W2114423093","https://openalex.org/W2115706991","https://openalex.org/W2153770148","https://openalex.org/W2164301055","https://openalex.org/W2182968499","https://openalex.org/W2425438650","https://openalex.org/W2795507584","https://openalex.org/W2899230949","https://openalex.org/W2916621068","https://openalex.org/W2921509219","https://openalex.org/W2936995161","https://openalex.org/W2950866122","https://openalex.org/W2963367227","https://openalex.org/W2963654173","https://openalex.org/W2963750388","https://openalex.org/W2989034963","https://openalex.org/W3001175917","https://openalex.org/W3012264151","https://openalex.org/W3014883956","https://openalex.org/W3021478246","https://openalex.org/W3027891624","https://openalex.org/W3099827691","https://openalex.org/W3101497372","https://openalex.org/W3123649567","https://openalex.org/W3187944685","https://openalex.org/W3191603018","https://openalex.org/W3212961292","https://openalex.org/W4214555166","https://openalex.org/W4229650096","https://openalex.org/W4289937116"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2562808805","https://openalex.org/W4312305632","https://openalex.org/W412354254","https://openalex.org/W4379522615"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,17,37,89],"reflected":[6],"forward-backward":[7],"splitting":[8],"algorithm":[9,52,97],"with":[10,69,102],"two":[11],"different":[12],"inertial":[13],"extrapolations":[14],"to":[15,92],"find":[16],"zero":[18],"of":[19,22,27,45,49],"the":[20,28,46,50,56,62,107],"sum":[21],"three":[23],"monotone":[24,30,34,59],"operators":[25],"consisting":[26],"maximal":[29],"operator,":[31,35],"Lipschitz":[32,57],"continuous":[33,58],"and":[36,61,78,100],"cocoercive":[38,63],"operator":[39,60,64],"in":[40,106],"real":[41],"Hilbert":[42],"spaces.":[43],"One":[44],"interesting":[47],"features":[48],"proposed":[51,96],"is":[53,98],"that":[54,94],"both":[55],"are":[65],"computed":[66],"explicitly":[67],"each":[68],"one":[70],"evaluation":[71],"per":[72],"iteration.":[73],"We":[74,86],"then":[75],"obtain":[76],"weak":[77],"strong":[79],"convergence":[80],"results":[81],"under":[82],"some":[83],"mild":[84],"conditions.":[85],"finally":[87],"give":[88],"numerical":[90],"illustration":[91],"show":[93],"our":[95],"effective":[99],"competitive":[101],"other":[103],"related":[104],"algorithms":[105],"literature.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}