{"id":"https://openalex.org/W4378472176","doi":"https://doi.org/10.3390/axioms12060518","title":"Remarks on \u201cPerov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation\u201d","display_name":"Remarks on \u201cPerov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation\u201d","publication_year":2023,"publication_date":"2023-05-25","ids":{"openalex":"https://openalex.org/W4378472176","doi":"https://doi.org/10.3390/axioms12060518"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12060518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060518","pdf_url":"https://www.mdpi.com/2075-1680/12/6/518/pdf?version=1685008989","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/2075-1680/12/6/518/pdf?version=1685008989","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035913726","display_name":"S. Mitrovi\u0107","orcid":"https://orcid.org/0000-0001-5915-2234"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Slobodanka Mitrovi\u0107","raw_affiliation_strings":["Faculty of Forestry, Kneza Vi\u0161eslava 1, University of Belgrade, 11030 Beograd, Serbia"],"raw_orcid":"https://orcid.org/0000-0001-5915-2234","affiliations":[{"raw_affiliation_string":"Faculty of Forestry, Kneza Vi\u0161eslava 1, University of Belgrade, 11030 Beograd, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088960620","display_name":"Nicola Fabiano","orcid":"https://orcid.org/0000-0003-1645-2071"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Nicola Fabiano","raw_affiliation_strings":["Vin\u010da Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovi\u0107a Alasa 12-14, 11351 Beograd, Serbia"],"raw_orcid":"https://orcid.org/0000-0003-1645-2071","affiliations":[{"raw_affiliation_string":"Vin\u010da Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovi\u0107a Alasa 12-14, 11351 Beograd, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039412261","display_name":"S. Radojevi\u0107","orcid":"https://orcid.org/0000-0003-1845-4441"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Slobodan Radojevi\u0107","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia"],"raw_orcid":"https://orcid.org/0000-0003-1845-4441","affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032620709","display_name":"Stojan Radenovi\u0107","orcid":"https://orcid.org/0000-0001-8254-6688"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Stojan Radenovi\u0107","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia"],"raw_orcid":"https://orcid.org/0000-0001-8254-6688","affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia","institution_ids":["https://openalex.org/I4068193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088960620"],"corresponding_institution_ids":["https://openalex.org/I4068193"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11849375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"6","first_page":"518","last_page":"518"},"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/binary-relation","display_name":"Binary relation","score":0.7913180589675903},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.6959296464920044},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6860533952713013},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6538183689117432},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6413576602935791},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5817962288856506},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5045763254165649},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4957958161830902},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44283628463745117},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.42069512605667114},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.4197852313518524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3645506501197815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3382824659347534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19716158509254456},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16749602556228638},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08600667119026184}],"concepts":[{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.7913180589675903},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6959296464920044},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6860533952713013},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6538183689117432},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6413576602935791},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5817962288856506},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5045763254165649},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4957958161830902},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44283628463745117},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.42069512605667114},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.4197852313518524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3645506501197815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3382824659347534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19716158509254456},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16749602556228638},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08600667119026184},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms12060518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060518","pdf_url":"https://www.mdpi.com/2075-1680/12/6/518/pdf?version=1685008989","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:373ef3dc15b441c4bffc4968790b4cad","is_oa":true,"landing_page_url":"https://doaj.org/article/373ef3dc15b441c4bffc4968790b4cad","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 6, p 518 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/6/518/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12060518","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 12; Issue 6; Pages: 518","raw_type":"Text"},{"id":"pmh:oai:vinar.vin.bg.ac.rs:123456789/11218","is_oa":true,"landing_page_url":"https://vinar.vin.bg.ac.rs/handle/123456789/11218","pdf_url":null,"source":{"id":"https://openalex.org/S4306402108","display_name":"VinaR (Institute of Nuclear Sciences \"Vin\u010da\")","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210101313","host_organization_name":"University Hospital Center Dr Dragi\u0161a Mi\u0161ovi\u0107","host_organization_lineage":["https://openalex.org/I4210101313"],"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","raw_type":"publishedVersion"}],"best_oa_location":{"id":"doi:10.3390/axioms12060518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060518","pdf_url":"https://www.mdpi.com/2075-1680/12/6/518/pdf?version=1685008989","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4378472176.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W906924629","https://openalex.org/W1458771408","https://openalex.org/W1780573800","https://openalex.org/W1969670355","https://openalex.org/W2014589140","https://openalex.org/W2018509233","https://openalex.org/W2040644378","https://openalex.org/W2081659694","https://openalex.org/W2107929732","https://openalex.org/W2131174231","https://openalex.org/W2333446594","https://openalex.org/W2410069191","https://openalex.org/W2581064243","https://openalex.org/W2619519284","https://openalex.org/W2800672696","https://openalex.org/W3028189048","https://openalex.org/W3169627106","https://openalex.org/W3176744647","https://openalex.org/W3205235454","https://openalex.org/W4295939105","https://openalex.org/W4297825336","https://openalex.org/W4313462947","https://openalex.org/W4367664732","https://openalex.org/W6642751654","https://openalex.org/W6734099478","https://openalex.org/W6751666411","https://openalex.org/W7052864789"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W2985828462","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W4244119288"],"abstract_inverted_index":{"Since":[0],"1964,":[1],"when":[2],"I.A.":[3],"Perov":[4],"introduced":[5],"the":[6,17,52,74,78,88,99,120],"so-called":[7],"generalized":[8],"metric":[9],"space":[10,19,89],"where":[11],"d(x,y)":[12],"is":[13],"an":[14],"element":[15],"of":[16,31,42,54,58,119],"vector":[18],"Rm,":[20],"many":[21],"researchers":[22],"have":[23],"considered":[24],"various":[25],"contractive":[26],"conditions":[27],"in":[28],"this":[29,34],"type":[30],"space.":[32],"In":[33,109],"paper,":[35],"we":[36,111],"generalize,":[37],"extend":[38],"and":[39,82,103],"unify":[40],"some":[41,59,70,83,118],"those":[43],"established":[44],"results.":[45],"We":[46,94],"are":[47,92],"primarily":[48],"concerned":[49],"with":[50,98],"examining":[51],"existence":[53],"a":[55],"fixed":[56],"point":[57],"mapping":[60],"from":[61],"X":[62],"to":[63,69],"itself,":[64],"but":[65],"if":[66],"(x,y)":[67],"belongs":[68],"relation":[71,80],"R":[72,81],"on":[73,87],"set":[75],"X,":[76],"then":[77],"binary":[79],"F":[84],"contraction":[85],"defined":[86],"cone":[90],"Rm":[91],"combined.":[93],"start":[95],"our":[96],"consideration":[97],"recently":[100],"announced":[101,114],"results":[102,115],"give":[104],"them":[105],"strict,":[106],"critical":[107],"remarks.":[108],"addition,":[110],"improve":[112],"several":[113],"by":[116],"weakening":[117],"given":[121],"conditions.":[122]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}