{"id":"https://openalex.org/W1834458123","doi":"https://doi.org/10.1007/3-540-45335-0_18","title":"Effective Fixed Point Theorem over a Non-Computably Separable Metric Space","display_name":"Effective Fixed Point Theorem over a Non-Computably Separable Metric Space","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1834458123","doi":"https://doi.org/10.1007/3-540-45335-0_18","mag":"1834458123"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45335-0_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45335-0_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"Lecture Notes in Computer Science","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/A5000908442","display_name":"Izumi Takeuti","orcid":"https://orcid.org/0000-0001-7235-2281"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Izumi Takeuti","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, 606-8501, Japan","[Graduate School of Informatics, Kyoto University, Japan]"],"affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"[Graduate School of Informatics, Kyoto University, Japan]","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000908442"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.18830973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"310","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9884999990463257,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9736999869346619,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7436240911483765},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.6755555868148804},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.6609222888946533},{"id":"https://openalex.org/keywords/contraction-mapping","display_name":"Contraction mapping","score":0.6186380386352539},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.613690197467804},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5699503421783447},{"id":"https://openalex.org/keywords/computable-number","display_name":"Computable number","score":0.5673708915710449},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5661574602127075},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5384753346443176},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5005762577056885},{"id":"https://openalex.org/keywords/gap-theorem","display_name":"Gap theorem","score":0.45250970125198364},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.41992995142936707},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.34842121601104736},{"id":"https://openalex.org/keywords/danskins-theorem","display_name":"Danskin's theorem","score":0.29107946157455444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15135616064071655}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7436240911483765},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.6755555868148804},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.6609222888946533},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.6186380386352539},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.613690197467804},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5699503421783447},{"id":"https://openalex.org/C156382255","wikidata":"https://www.wikidata.org/wiki/Q818895","display_name":"Computable number","level":4,"score":0.5673708915710449},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5661574602127075},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5384753346443176},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5005762577056885},{"id":"https://openalex.org/C3853638","wikidata":"https://www.wikidata.org/wiki/Q1314081","display_name":"Gap theorem","level":5,"score":0.45250970125198364},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.41992995142936707},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.34842121601104736},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.29107946157455444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15135616064071655}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45335-0_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45335-0_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"Lecture Notes in Computer Science","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":10,"referenced_works":["https://openalex.org/W615345195","https://openalex.org/W623765668","https://openalex.org/W1496947201","https://openalex.org/W1497475168","https://openalex.org/W1509579779","https://openalex.org/W1606648337","https://openalex.org/W1975886595","https://openalex.org/W2611511037","https://openalex.org/W2912268883","https://openalex.org/W4243563333"],"related_works":["https://openalex.org/W2007775665","https://openalex.org/W1492946114","https://openalex.org/W2811297303","https://openalex.org/W1577501449","https://openalex.org/W1713431582","https://openalex.org/W1498085647","https://openalex.org/W2565599026","https://openalex.org/W2080359559","https://openalex.org/W2464649310","https://openalex.org/W1480530468"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
