{"id":"https://openalex.org/W4411296658","doi":"https://doi.org/10.1142/s0217595925500289","title":"CQ-Like Algorithm for Nonconvex Split Feasibility Problem with Multiple Output Sets","display_name":"CQ-Like Algorithm for Nonconvex Split Feasibility Problem with Multiple Output Sets","publication_year":2025,"publication_date":"2025-06-12","ids":{"openalex":"https://openalex.org/W4411296658","doi":"https://doi.org/10.1142/s0217595925500289"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595925500289","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500289","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5039035300","display_name":"Xingxing Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingxing Zhao","raw_affiliation_strings":["Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China"],"raw_orcid":"https://orcid.org/0009-0002-4768-3905","affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101654358","display_name":"Meixia Li","orcid":"https://orcid.org/0000-0003-0737-1915"},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Meixia Li","raw_affiliation_strings":["School of Mathematics and Statistics, Weifang University, Weifang 261061, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-0737-1915","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Weifang University, Weifang 261061, P. R. China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036516823","display_name":"Biao Qu","orcid":"https://orcid.org/0000-0001-5354-8043"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Qu","raw_affiliation_strings":["Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-5354-8043","affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101654358"],"corresponding_institution_ids":["https://openalex.org/I66883779"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1439898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9962999820709229,"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":0.9962999820709229,"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":0.9706000089645386,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.967199981212616,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.599402904510498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5802979469299316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5208828449249268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3575449585914612}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.599402904510498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5802979469299316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5208828449249268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3575449585914612}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217595925500289","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500289","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1448666684","display_name":null,"funder_award_id":"ZR2024MA013","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2306642393","display_name":null,"funder_award_id":"ZR2022MA034","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G3095804135","display_name":null,"funder_award_id":"11571120","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3789655617","display_name":null,"funder_award_id":"ZR2024MA004","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4761485794","display_name":null,"funder_award_id":"11401438","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5300160718","display_name":null,"funder_award_id":"12271309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7335504566","display_name":null,"funder_award_id":"ZR2022MA038","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G7450337832","display_name":null,"funder_award_id":"ZR2020MA027","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W338448201","https://openalex.org/W1979064790","https://openalex.org/W1988539966","https://openalex.org/W2008021048","https://openalex.org/W2021361347","https://openalex.org/W2022164193","https://openalex.org/W2027982384","https://openalex.org/W2100503136","https://openalex.org/W2119645780","https://openalex.org/W2129732816","https://openalex.org/W2150195104","https://openalex.org/W2153562582","https://openalex.org/W2265744594","https://openalex.org/W2885174950","https://openalex.org/W2963546539","https://openalex.org/W3011526999","https://openalex.org/W3043947266","https://openalex.org/W3094415535","https://openalex.org/W4249513058","https://openalex.org/W4385765773"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"With":[0],"the":[1,57,60,71,76,86,96,102,123],"development":[2],"of":[3,59,78,85],"science":[4],"and":[5,69,82,107,111,129],"technology,":[6],"many":[7],"practical":[8],"problems":[9,33],"can":[10],"be":[11],"transformed":[12],"into":[13],"nonconvex":[14,24,30],"problems.":[15],"As":[16],"far":[17],"as":[18],"we":[19,45,100],"know,":[20],"current":[21],"research":[22],"on":[23,29],"split":[25,31],"feasibility":[26,32],"problems,":[27,110],"especially":[28],"with":[34,115],"multiple":[35,67],"output":[36],"sets,":[37,68],"remains":[38],"relatively":[39],"limited.":[40],"To":[41],"address":[42],"this":[43],"need,":[44],"propose":[46],"a":[47],"CQ-like":[48],"algorithm":[49,55,62,88,103,125],"to":[50,66,74,104],"solve":[51],"them.":[52],"This":[53],"new":[54],"extends":[56],"applicability":[58],"CQ":[61],"from":[63],"two":[64],"sets":[65,91],"optimizes":[70],"step":[72],"size":[73],"reduce":[75],"number":[77],"iterations.":[79],"The":[80],"convergence":[81,83],"rates":[84],"proposed":[87,124],"for":[89],"semialgebraic":[90],"are":[92],"proven":[93],"by":[94],"using":[95],"Kurdyka\u2013\u0141ojasiewicz":[97],"inequality.":[98],"Additionally,":[99],"apply":[101],"diverse":[105],"signal":[106],"image":[108],"recovery":[109],"compare":[112],"its":[113],"effectiveness":[114],"other":[116],"existing":[117],"algorithms.":[118],"Numerical":[119],"experiments":[120],"reveal":[121],"that":[122],"demonstrates":[126],"superior":[127],"efficiency":[128],"practicality.":[130]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}