{"id":"https://openalex.org/W2075080213","doi":"https://doi.org/10.1007/bf00370391","title":"Some unifying fixed point principles","display_name":"Some unifying fixed point principles","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2075080213","doi":"https://doi.org/10.1007/bf00370391","mag":"2075080213"},"language":"en","primary_location":{"id":"doi:10.1007/bf00370391","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00370391","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","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/A5060720898","display_name":"Raymond M. Smullyan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Raymond M. Smullyan","raw_affiliation_strings":["Indiana University at Bloomington, USA","Indiana University at Bloomington, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indiana University at Bloomington, USA","institution_ids":["https://openalex.org/I4210119109"]},{"raw_affiliation_string":"Indiana University at Bloomington, USA#TAB#","institution_ids":["https://openalex.org/I4210119109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060720898"],"corresponding_institution_ids":["https://openalex.org/I4210119109"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.21385681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"50","issue":"1","first_page":"129","last_page":"141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9965000152587891,"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"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9965000152587891,"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/section","display_name":"Section (typography)","score":0.9225442409515381},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7531267404556274},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5974803566932678},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5942337512969971},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5803062915802002},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5735220909118652},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46873220801353455},{"id":"https://openalex.org/keywords/least-fixed-point","display_name":"Least fixed point","score":0.44465872645378113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4365418255329132},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4086901545524597},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40830257534980774},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3742440342903137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.314247190952301},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2869476079940796},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.18761929869651794},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17708536982536316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11370328068733215},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09545367956161499},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.06556326150894165}],"concepts":[{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.9225442409515381},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7531267404556274},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5974803566932678},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5942337512969971},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5803062915802002},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5735220909118652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46873220801353455},{"id":"https://openalex.org/C27333817","wikidata":"https://www.wikidata.org/wiki/Q6134913","display_name":"Least fixed point","level":5,"score":0.44465872645378113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4365418255329132},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4086901545524597},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40830257534980774},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3742440342903137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.314247190952301},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2869476079940796},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.18761929869651794},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17708536982536316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11370328068733215},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09545367956161499},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.06556326150894165},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/bf00370391","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00370391","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4244119288","https://openalex.org/W2585118952","https://openalex.org/W2846516035","https://openalex.org/W2078436767","https://openalex.org/W2963131862","https://openalex.org/W2072568712","https://openalex.org/W2052710190","https://openalex.org/W2012141574","https://openalex.org/W2084519163","https://openalex.org/W2555637401"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":20}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}