{"id":"https://openalex.org/W95296943","doi":"https://doi.org/10.1007/978-1-4419-9569-8_9","title":"Opial-Type Theorems and the Common Fixed Point Problem","display_name":"Opial-Type Theorems and the Common Fixed Point Problem","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W95296943","doi":"https://doi.org/10.1007/978-1-4419-9569-8_9","mag":"95296943"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4419-9569-8_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-9569-8_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210186983","display_name":"Springer optimization and its applications","issn_l":"1931-6828","issn":["1931-6828","1931-6836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Optimization and Its Applications","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/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, Zielona G\u00f3ra, 65-514, Poland","University of Zielona Gora"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, ul. Szafrana 4a, Zielona G\u00f3ra, 65-514, Poland","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"University of Zielona Gora","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075594934","display_name":"Yair Censor","orcid":"https://orcid.org/0000-0003-2247-818X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yair Censor","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082463321"],"corresponding_institution_ids":["https://openalex.org/I46305939"],"apc_list":null,"apc_paid":null,"fwci":6.182,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.96841899,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"155","last_page":"183"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9991999864578247,"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":0.9944000244140625,"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/fixed-point","display_name":"Fixed point","score":0.7879732847213745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7549772262573242},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7102721929550171},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7040309906005859},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6484993696212769},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6210311055183411},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5377265810966492},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5338975191116333},{"id":"https://openalex.org/keywords/fixed-point-property","display_name":"Fixed-point property","score":0.4948405623435974},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.42131325602531433},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4065209627151489},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3425758481025696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33080828189849854},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.13651210069656372},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.039747029542922974}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7879732847213745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7549772262573242},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7102721929550171},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7040309906005859},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6484993696212769},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6210311055183411},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5377265810966492},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5338975191116333},{"id":"https://openalex.org/C105720234","wikidata":"https://www.wikidata.org/wiki/Q5456331","display_name":"Fixed-point property","level":3,"score":0.4948405623435974},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.42131325602531433},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4065209627151489},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3425758481025696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33080828189849854},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.13651210069656372},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.039747029542922974},{"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/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},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-1-4419-9569-8_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-9569-8_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210186983","display_name":"Springer optimization and its applications","issn_l":"1931-6828","issn":["1931-6828","1931-6836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Optimization and Its Applications","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.711.2006","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.711.2006","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.haifa.ac.il/yair/CC-Banff-final-120810.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:spochp:978-1-4419-9569-8_9","is_oa":false,"landing_page_url":null,"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":"book"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W1480205328","https://openalex.org/W1573020794","https://openalex.org/W1585386565","https://openalex.org/W1971335842","https://openalex.org/W1971915361","https://openalex.org/W1973701131","https://openalex.org/W1979948370","https://openalex.org/W1986983198","https://openalex.org/W1989408004","https://openalex.org/W1989820267","https://openalex.org/W1998318467","https://openalex.org/W2000748685","https://openalex.org/W2025424390","https://openalex.org/W2033511209","https://openalex.org/W2036525122","https://openalex.org/W2052565283","https://openalex.org/W2053487511","https://openalex.org/W2054796771","https://openalex.org/W2062059813","https://openalex.org/W2069491950","https://openalex.org/W2085440994","https://openalex.org/W2100503136","https://openalex.org/W2132058804","https://openalex.org/W2136038196","https://openalex.org/W2139491842","https://openalex.org/W2144037063","https://openalex.org/W2188795286","https://openalex.org/W2614928737","https://openalex.org/W2885749508","https://openalex.org/W2976223356","https://openalex.org/W4213133970"],"related_works":["https://openalex.org/W2506139452","https://openalex.org/W2507075888","https://openalex.org/W2585118952","https://openalex.org/W2963131862","https://openalex.org/W2846516035","https://openalex.org/W1691643469","https://openalex.org/W3123504591","https://openalex.org/W2354765335","https://openalex.org/W2072568712","https://openalex.org/W2084519163"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
