{"id":"https://openalex.org/W51174817","doi":"https://doi.org/10.1007/978-3-642-22833-9_45","title":"Shrinking Projection Method for a Family of Quasinonexpansive Mappings with a Sequence of Subsets of an Index Set","display_name":"Shrinking Projection Method for a Family of Quasinonexpansive Mappings with a Sequence of Subsets of an Index Set","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W51174817","doi":"https://doi.org/10.1007/978-3-642-22833-9_45","mag":"51174817"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-22833-9_45","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22833-9_45","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5064924981","display_name":"Yasunori Kimura","orcid":"https://orcid.org/0000-0003-1861-0432"},"institutions":[{"id":"https://openalex.org/I129634264","display_name":"Toho University","ror":"https://ror.org/02hcx7n63","country_code":"JP","type":"education","lineage":["https://openalex.org/I129634264"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yasunori Kimura","raw_affiliation_strings":["Department of Information Science, Toho University, Miyama, Funabashi, Chiba, 274-8510, Japan","Toho University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science, Toho University, Miyama, Funabashi, Chiba, 274-8510, Japan","institution_ids":["https://openalex.org/I129634264"]},{"raw_affiliation_string":"Toho University,","institution_ids":["https://openalex.org/I129634264"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064924981"],"corresponding_institution_ids":["https://openalex.org/I129634264"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0349359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"371","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.998199999332428,"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":0.998199999332428,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9648000001907349,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7819787263870239},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6975580453872681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6697672009468079},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6673327684402466},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6421934366226196},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5871395468711853},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5754512548446655},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5482025146484375},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4619135856628418},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4148983955383301},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.3193442225456238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2894342839717865},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16247007250785828},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07764610648155212}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7819787263870239},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6975580453872681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6697672009468079},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6673327684402466},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6421934366226196},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5871395468711853},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5754512548446655},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5482025146484375},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4619135856628418},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4148983955383301},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.3193442225456238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2894342839717865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16247007250785828},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07764610648155212},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-22833-9_45","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22833-9_45","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1559761527","https://openalex.org/W1967676676","https://openalex.org/W1968162369","https://openalex.org/W1986863729","https://openalex.org/W2007506981","https://openalex.org/W2027068897","https://openalex.org/W2051117408","https://openalex.org/W2063792642","https://openalex.org/W2078742969","https://openalex.org/W2083356187","https://openalex.org/W2119759439"],"related_works":["https://openalex.org/W1993770029","https://openalex.org/W2393270639","https://openalex.org/W774881382","https://openalex.org/W2033390858","https://openalex.org/W2890379475","https://openalex.org/W2774026033","https://openalex.org/W2392770728","https://openalex.org/W2296570413","https://openalex.org/W2352697500","https://openalex.org/W4301014485"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
