{"id":"https://openalex.org/W4306652120","doi":"https://doi.org/10.3390/axioms11100563","title":"Fixed Point Theory for Multi-Valued Feng\u2013Liu\u2013Subrahmanyan Contractions","display_name":"Fixed Point Theory for Multi-Valued Feng\u2013Liu\u2013Subrahmanyan Contractions","publication_year":2022,"publication_date":"2022-10-17","ids":{"openalex":"https://openalex.org/W4306652120","doi":"https://doi.org/10.3390/axioms11100563"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11100563","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100563","pdf_url":"https://www.mdpi.com/2075-1680/11/10/563/pdf?version=1666698550","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/10/563/pdf?version=1666698550","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060662249","display_name":"Claudia Lumini\u0163a Mihi\u0163","orcid":"https://orcid.org/0000-0003-4790-1853"},"institutions":[{"id":"https://openalex.org/I64956957","display_name":"Aurel Vlaicu University of Arad","ror":"https://ror.org/05w5rsy15","country_code":"RO","type":"education","lineage":["https://openalex.org/I64956957"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Claudia Lumini\u0163a Mihi\u0163","raw_affiliation_strings":["Department of Mathematics and Computer Science, \u201cAurel Vlaicu\u201d University of Arad, Elena Dr\u0103goi Street No. 2, 310330 Arad, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, \u201cAurel Vlaicu\u201d University of Arad, Elena Dr\u0103goi Street No. 2, 310330 Arad, Romania","institution_ids":["https://openalex.org/I64956957"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008919320","display_name":"Ghiocel Mo\u0163","orcid":null},"institutions":[{"id":"https://openalex.org/I64956957","display_name":"Aurel Vlaicu University of Arad","ror":"https://ror.org/05w5rsy15","country_code":"RO","type":"education","lineage":["https://openalex.org/I64956957"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Ghiocel Mo\u0163","raw_affiliation_strings":["Department of Mathematics and Computer Science, \u201cAurel Vlaicu\u201d University of Arad, Elena Dr\u0103goi Street No. 2, 310330 Arad, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, \u201cAurel Vlaicu\u201d University of Arad, Elena Dr\u0103goi Street No. 2, 310330 Arad, Romania","institution_ids":["https://openalex.org/I64956957"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013758899","display_name":"Adrian Petru\u015fel","orcid":"https://orcid.org/0000-0002-5629-5667"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]},{"id":"https://openalex.org/I33800924","display_name":"Academy of Romanian Scientists","ror":"https://ror.org/04ybnj478","country_code":"RO","type":"facility","lineage":["https://openalex.org/I33800924"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Adrian Petru\u015fel","raw_affiliation_strings":["Academy of Romanian Scientists, Independen\u0163ei No. 54, 050094 Bucharest, Romania","Department of Mathematics, Babe\u015f-Bolyai University Cluj-Napoca, Mihail Kog\u0103lniceanu Street No. 1, 400084 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Academy of Romanian Scientists, Independen\u0163ei No. 54, 050094 Bucharest, Romania","institution_ids":["https://openalex.org/I33800924"]},{"raw_affiliation_string":"Department of Mathematics, Babe\u015f-Bolyai University Cluj-Napoca, Mihail Kog\u0103lniceanu Street No. 1, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060662249"],"corresponding_institution_ids":["https://openalex.org/I64956957"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.1766,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77230234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"11","issue":"10","first_page":"563","last_page":"563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/fixed-point","display_name":"Fixed point","score":0.7978478670120239},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6826547384262085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6583561301231384},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.641182541847229},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4371020793914795},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4222773313522339},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3712766766548157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22473379969596863}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7978478670120239},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6826547384262085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6583561301231384},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.641182541847229},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4371020793914795},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4222773313522339},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3712766766548157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22473379969596863}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11100563","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100563","pdf_url":"https://www.mdpi.com/2075-1680/11/10/563/pdf?version=1666698550","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:397c7f203ae5429896eef13bd4f9467b","is_oa":true,"landing_page_url":"https://doaj.org/article/397c7f203ae5429896eef13bd4f9467b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 10, p 563 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/10/563/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11100563","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 10; Pages: 563","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11100563","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100563","pdf_url":"https://www.mdpi.com/2075-1680/11/10/563/pdf?version=1666698550","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4306652120.pdf","grobid_xml":"https://content.openalex.org/works/W4306652120.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W147294779","https://openalex.org/W1547399276","https://openalex.org/W2008373370","https://openalex.org/W2028854722","https://openalex.org/W2038301844","https://openalex.org/W2050691824","https://openalex.org/W2069789839","https://openalex.org/W2107929732","https://openalex.org/W2129941846","https://openalex.org/W2157697808","https://openalex.org/W2304559085","https://openalex.org/W2370085544","https://openalex.org/W2793758937","https://openalex.org/W2955571484","https://openalex.org/W2985837028","https://openalex.org/W3091339217","https://openalex.org/W3093050438","https://openalex.org/W3136598224","https://openalex.org/W3165753002","https://openalex.org/W3172985890","https://openalex.org/W4224307290","https://openalex.org/W4312231333","https://openalex.org/W6652628192","https://openalex.org/W6676611333","https://openalex.org/W6698056003","https://openalex.org/W6784413981","https://openalex.org/W6791115857"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W1606221119","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W2985828462"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"several":[5],"problems":[6],"related":[7],"to":[8],"the":[9,20,25,38],"so-called":[10],"multi-valued":[11,65,69],"Feng\u2013Liu\u2013Subrahmanyan":[12],"contractions":[13,67],"in":[14],"complete":[15],"metric":[16],"spaces.":[17],"Existence":[18],"of":[19,24],"fixed":[21,27,39],"points":[22],"and":[23,34,51,68],"strict":[26],"points,":[28],"as":[29,31],"well":[30],"data":[32],"dependence":[33],"stability":[35],"properties":[36],"for":[37,64],"point":[40],"problem,":[41],"are":[42,46,55],"discussed.":[43],"Some":[44],"results":[45,59,62],"presented,":[47],"under":[48],"appropriate":[49],"conditions,":[50],"some":[52],"open":[53],"questions":[54],"pointed":[56],"out.":[57],"Our":[58],"extend":[60],"recent":[61],"given":[63],"graph":[66],"Subrahmanyan":[70],"contractions.":[71]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
