{"id":"https://openalex.org/W2001504661","doi":"https://doi.org/10.1007/s10957-014-0662-z","title":"General Method for Solving the Split Common Fixed Point Problem","display_name":"General Method for Solving the Split Common Fixed Point Problem","publication_year":2014,"publication_date":"2014-10-21","ids":{"openalex":"https://openalex.org/W2001504661","doi":"https://doi.org/10.1007/s10957-014-0662-z","mag":"2001504661"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-014-0662-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-014-0662-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-014-0662-z.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10957-014-0662-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082463321","display_name":"Andrzej Cegielski","orcid":"https://orcid.org/0000-0002-1840-4455"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Cegielski","raw_affiliation_strings":["Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, ul. Szafrana 4a, 65-516, Zielona Gora, Poland","Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, Zielona G\u00f3ra, Poland 65-516#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, ul. Szafrana 4a, 65-516, Zielona Gora, Poland","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, Zielona G\u00f3ra, Poland 65-516#TAB#","institution_ids":["https://openalex.org/I46305939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082463321"],"corresponding_institution_ids":["https://openalex.org/I46305939"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":5.889,"has_fulltext":true,"cited_by_count":90,"citation_normalized_percentile":{"value":0.96413242,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"165","issue":"2","first_page":"385","last_page":"404"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.995199978351593,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8395905494689941},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6914892196655273},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6432238221168518},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6283711194992065},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.516223669052124},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4807429313659668},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.380279004573822},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3738776445388794},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2610344886779785},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21199345588684082},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2015945315361023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8395905494689941},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6914892196655273},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6432238221168518},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6283711194992065},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.516223669052124},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4807429313659668},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.380279004573822},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3738776445388794},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2610344886779785},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21199345588684082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2015945315361023},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-014-0662-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-014-0662-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-014-0662-z.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:165:y:2015:i:2:d:10.1007_s10957-014-0662-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-014-0662-z","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":{"id":"doi:10.1007/s10957-014-0662-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-014-0662-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-014-0662-z.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2001504661.pdf","grobid_xml":"https://content.openalex.org/works/W2001504661.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W95296943","https://openalex.org/W613392520","https://openalex.org/W1493250972","https://openalex.org/W1494873624","https://openalex.org/W1573020794","https://openalex.org/W1970239850","https://openalex.org/W1974274125","https://openalex.org/W1979064790","https://openalex.org/W1988539966","https://openalex.org/W1998318467","https://openalex.org/W2011108295","https://openalex.org/W2017614763","https://openalex.org/W2033511209","https://openalex.org/W2044040638","https://openalex.org/W2052565283","https://openalex.org/W2053487511","https://openalex.org/W2062059813","https://openalex.org/W2091952110","https://openalex.org/W2119645780","https://openalex.org/W2135802983","https://openalex.org/W2138146018","https://openalex.org/W2150195104","https://openalex.org/W4213133970","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2027251766","https://openalex.org/W2080078587","https://openalex.org/W2966573933","https://openalex.org/W4245918773","https://openalex.org/W2128904205","https://openalex.org/W4298006626","https://openalex.org/W2028242873","https://openalex.org/W4643042","https://openalex.org/W1914401326","https://openalex.org/W2012297022"],"abstract_inverted_index":{"The":[0,85],"split":[1,10,73],"common":[2,17,40,106],"fixed":[3,18,41,107],"point":[4,19,42],"problem":[5,63],"(also":[6],"called":[7,71],"the":[8,49,53,72,100,111,123,129],"multiple-sets":[9],"feasibility":[11,74],"problem)":[12],"is":[13,38,87],"to":[14],"find":[15,57],"a":[16,21,34,39,78,90,105],"of":[20,24,43,46,114],"finite":[22],"family":[23,45],"operators":[25,47,98],"in":[26,48,93],"one":[27,55],"real":[28],"Hilbert":[29],"space,":[30],"whose":[31],"image":[32,50],"under":[33],"bounded":[35],"linear":[36],"transformation":[37],"another":[44],"space.":[51],"In":[52],"literature":[54,130],"can":[56],"many":[58],"methods":[59,126],"for":[60,67,81,125],"solving":[61,82],"this":[62,118],"as":[64,66],"well":[65],"its":[68],"special":[69],"case,":[70],"problem.":[75],"We":[76,109],"propose":[77],"general":[79,134],"method":[80,86,119],"both":[83],"problems.":[84],"based":[88],"on":[89],"block-iterative":[91],"procedure,":[92],"which":[94],"we":[95],"apply":[96],"quasi-nonexpansive":[97],"satisfying":[99],"demi-closedness":[101],"principle":[102],"and":[103,120],"having":[104],"point.":[108],"prove":[110],"weak":[112],"convergence":[113,124],"sequences":[115],"generated":[116],"by":[117],"show":[121],"that":[122],"known":[127],"from":[128,132],"follows":[131],"our":[133],"result.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}