{"id":"https://openalex.org/W4410521092","doi":"https://doi.org/10.1007/s11075-025-02095-9","title":"Forward-reflected-backward algorithms with double inertial extrapolations for variational inequalities with applications to image processing","display_name":"Forward-reflected-backward algorithms with double inertial extrapolations for variational inequalities with applications to image processing","publication_year":2025,"publication_date":"2025-05-20","ids":{"openalex":"https://openalex.org/W4410521092","doi":"https://doi.org/10.1007/s11075-025-02095-9"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-025-02095-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-025-02095-9","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5086876412","display_name":"Yonghong Yao","orcid":"https://orcid.org/0000-0002-0452-785X"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]},{"id":"https://openalex.org/I35928602","display_name":"Kyung Hee University","ror":"https://ror.org/01zqcg218","country_code":"KR","type":"education","lineage":["https://openalex.org/I35928602"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]}],"countries":["CN","KR","TW"],"is_corresponding":false,"raw_author_name":"Yonghong Yao","raw_affiliation_strings":["Center for Advanced Information Technology, Kyung Hee University, Seoul, 02447, South Korea","Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan","School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Advanced Information Technology, Kyung Hee University, Seoul, 02447, South Korea","institution_ids":["https://openalex.org/I35928602"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan","institution_ids":["https://openalex.org/I184693016","https://openalex.org/I4210126829"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011124128","display_name":"Abubakar Adamu","orcid":"https://orcid.org/0000-0002-1916-3876"},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]},{"id":"https://openalex.org/I69050122","display_name":"Near East University","ror":"https://ror.org/02x8svs93","country_code":"CY","type":"education","lineage":["https://openalex.org/I69050122"]}],"countries":["CN","CY"],"is_corresponding":false,"raw_author_name":"Abubakar Adamu","raw_affiliation_strings":["Operational Research Center in Healthcare, Near East University, TRNC Mersin 10, Nicosia, 99138, Turkey","School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operational Research Center in Healthcare, Near East University, TRNC Mersin 10, Nicosia, 99138, Turkey","institution_ids":["https://openalex.org/I69050122"]},{"raw_affiliation_string":"School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"middle","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, 321004, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108521731","display_name":"Jen-Chih Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I33800924","display_name":"Academia Oamenilor de \u0218tiin\u021b\u0103 din Rom\u00e2nia","ror":"https://ror.org/04ybnj478","country_code":"RO","type":"facility","lineage":["https://openalex.org/I33800924"]}],"countries":["RO","TW"],"is_corresponding":false,"raw_author_name":"Jen-Chih Yao","raw_affiliation_strings":["Academy of Romanian Scientists, Bucharest, Romania","Center for General Education, China Medical University, Taichung, 40402, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Romanian Scientists, Bucharest, Romania","institution_ids":["https://openalex.org/I33800924"]},{"raw_affiliation_string":"Center for General Education, China Medical University, Taichung, 40402, Taiwan","institution_ids":["https://openalex.org/I184693016"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5022937282"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.7721,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74154956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"101","issue":"4","first_page":"2449","last_page":"2484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9980999827384949,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/theory-of-computation","display_name":"Theory of computation","score":0.7743738889694214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6836404204368591},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6836016178131104},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6725186705589294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5712457895278931},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.5183271169662476},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4975285828113556},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.42920297384262085},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.345398485660553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3284335136413574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.311504602432251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24192482233047485},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.20034784078598022},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.14240124821662903},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08526185154914856}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7743738889694214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6836404204368591},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6836016178131104},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6725186705589294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5712457895278931},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.5183271169662476},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4975285828113556},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.42920297384262085},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.345398485660553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3284335136413574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.311504602432251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24192482233047485},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.20034784078598022},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.14240124821662903},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08526185154914856},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-025-02095-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-025-02095-9","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1516681311","https://openalex.org/W1991765628","https://openalex.org/W2004326643","https://openalex.org/W2005241777","https://openalex.org/W2015928709","https://openalex.org/W2019624210","https://openalex.org/W2020600211","https://openalex.org/W2021549982","https://openalex.org/W2050760145","https://openalex.org/W2053487511","https://openalex.org/W2055467852","https://openalex.org/W2069356606","https://openalex.org/W2081985785","https://openalex.org/W2099681657","https://openalex.org/W2108070938","https://openalex.org/W2466751470","https://openalex.org/W2595644070","https://openalex.org/W2787184790","https://openalex.org/W2800425429","https://openalex.org/W2889829975","https://openalex.org/W2893600403","https://openalex.org/W2898335609","https://openalex.org/W2950866122","https://openalex.org/W2952384175","https://openalex.org/W2954960010","https://openalex.org/W2965900084","https://openalex.org/W3006370257","https://openalex.org/W3017666913","https://openalex.org/W3027232935","https://openalex.org/W3027891624","https://openalex.org/W3038106246","https://openalex.org/W3047797351","https://openalex.org/W3101497372","https://openalex.org/W3116233867","https://openalex.org/W3118794756","https://openalex.org/W3121144000","https://openalex.org/W3139542054","https://openalex.org/W3159873185","https://openalex.org/W3196402564","https://openalex.org/W4200153169","https://openalex.org/W4205234567","https://openalex.org/W4283268331","https://openalex.org/W4324348845","https://openalex.org/W4385762697","https://openalex.org/W4389046059","https://openalex.org/W4389454729","https://openalex.org/W4391034050","https://openalex.org/W4392239261","https://openalex.org/W4400690974","https://openalex.org/W4401753391","https://openalex.org/W4401948282","https://openalex.org/W4403331471","https://openalex.org/W4406627075","https://openalex.org/W4407422625","https://openalex.org/W7034639200"],"related_works":["https://openalex.org/W3131922696","https://openalex.org/W4229662703","https://openalex.org/W2033468445","https://openalex.org/W4287588948","https://openalex.org/W43918835","https://openalex.org/W4324027757","https://openalex.org/W3109616988","https://openalex.org/W2979838783","https://openalex.org/W2952384175","https://openalex.org/W2093863472"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}