{"id":"https://openalex.org/W1572094212","doi":"https://doi.org/10.3233/ifs-141232","title":"Completion of gradual metric spaces","display_name":"Completion of gradual metric spaces","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1572094212","doi":"https://doi.org/10.3233/ifs-141232","mag":"1572094212"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-141232","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-141232","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5056510423","display_name":"Bing Wang","orcid":"https://orcid.org/0000-0002-0871-7984"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bing Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China","School of Science, Mudanjiang Normal University, Mudanjiang, P.R. China","School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China and School of Science, Mudanjiang Normal University, Mudanjiang, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"School of Science, Mudanjiang Normal University, Mudanjiang, P.R. China","institution_ids":["https://openalex.org/I4210116828"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China and School of Science, Mudanjiang Normal University, Mudanjiang, P.R. China#TAB#","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034645348","display_name":"Bin Pang","orcid":"https://orcid.org/0000-0001-5092-8278"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Pang","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033892481","display_name":"Guiyan Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I114117164","display_name":"University of Science and Technology Liaoning","ror":"https://ror.org/03grx7119","country_code":"CN","type":"education","lineage":["https://openalex.org/I114117164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiyan Ding","raw_affiliation_strings":["School of Science, University of Science and Technology Liaoning, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Science, University of Science and Technology Liaoning, P.R. China","institution_ids":["https://openalex.org/I114117164"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056510423"],"corresponding_institution_ids":["https://openalex.org/I125839683","https://openalex.org/I4210116828"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.03179466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"27","issue":"5","first_page":"2597","last_page":"2602"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9769999980926514,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5903200507164001},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5395551919937134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4217611253261566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39222452044487},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1328442096710205},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07570281624794006},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.05466359853744507}],"concepts":[{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5903200507164001},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5395551919937134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4217611253261566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39222452044487},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1328442096710205},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07570281624794006},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.05466359853744507}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-141232","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-141232","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null},{"id":"https://openalex.org/F4320327406","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1490729186","https://openalex.org/W1662542889","https://openalex.org/W1966878149","https://openalex.org/W2019441837","https://openalex.org/W2020355788","https://openalex.org/W2051734340","https://openalex.org/W2099285375"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W4297851895"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,11],"completion":[4,12,22],"theorem":[5,13],"for":[6,14],"gradual":[7,15,39,43],"metric":[8],"space":[9,18],"and":[10,41],"normed":[16],"linear":[17],"are":[19,24],"proved.":[20],"The":[21],"spaces":[23],"defined":[25],"by":[26,33],"means":[27],"of":[28,35],"an":[29],"equivalence":[30],"relation":[31],"obtained":[32],"convergence":[34],"sequences":[36],"via":[37],"the":[38,42],"metrics":[40],"norms,":[44],"respectively.":[45]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-02-12T06:13:03.167441","created_date":"2025-10-10T00:00:00"}
