{"id":"https://openalex.org/W3112582138","doi":"https://doi.org/10.3233/jifs-201319","title":"Fuzzy relation-theoretic contraction principle","display_name":"Fuzzy relation-theoretic contraction principle","publication_year":2020,"publication_date":"2020-12-08","ids":{"openalex":"https://openalex.org/W3112582138","doi":"https://doi.org/10.3233/jifs-201319","mag":"3112582138"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-201319","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-201319","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/A5044216986","display_name":"Waleed M. Alfaqih","orcid":"https://orcid.org/0000-0001-6281-1229"},"institutions":[{"id":"https://openalex.org/I29891158","display_name":"University of Sharjah","ror":"https://ror.org/00engpz63","country_code":"AE","type":"education","lineage":["https://openalex.org/I29891158"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Waleed M. Alfaqih","raw_affiliation_strings":["Department of Mathematics, Hajjah University, Hajjah, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hajjah University, Hajjah, Yemen","institution_ids":["https://openalex.org/I29891158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030647721","display_name":"Based Ali","orcid":"https://orcid.org/0009-0007-6492-0833"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Based Ali","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, Aligarh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090086784","display_name":"Mohammad Imdad","orcid":"https://orcid.org/0000-0003-3270-1365"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohammad Imdad","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, Aligarh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032241746","display_name":"Salvatore Sessa","orcid":"https://orcid.org/0000-0002-4303-2884"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Salvatore Sessa","raw_affiliation_strings":["Universit\u00e0 degli Studi di Napoli Federico II, Dipartimento di Architettura, Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Napoli Federico II, Dipartimento di Architettura, Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032241746"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":1.1612,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7870466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"40","issue":"3","first_page":"4491","last_page":"4501"},"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/mathematics","display_name":"Mathematics","score":0.6929947137832642},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6736440658569336},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6315574645996094},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5731819868087769},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5681551694869995},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4453827738761902},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4263908863067627},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.42636382579803467},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4114089906215668},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3788362741470337},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37382495403289795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3468121886253357},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32696741819381714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3238564729690552},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18194636702537537},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12450230121612549},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.12034234404563904}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6929947137832642},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6736440658569336},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6315574645996094},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5731819868087769},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5681551694869995},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4453827738761902},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4263908863067627},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.42636382579803467},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4114089906215668},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3788362741470337},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37382495403289795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3468121886253357},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32696741819381714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3238564729690552},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18194636702537537},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12450230121612549},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.12034234404563904},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-201319","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-201319","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W99187563","https://openalex.org/W906924629","https://openalex.org/W1481951713","https://openalex.org/W1596940357","https://openalex.org/W1973567506","https://openalex.org/W1981992983","https://openalex.org/W1987761358","https://openalex.org/W2038300950","https://openalex.org/W2041739046","https://openalex.org/W2053805668","https://openalex.org/W2058071741","https://openalex.org/W2074773690","https://openalex.org/W2122440577","https://openalex.org/W2145364632","https://openalex.org/W2168203105","https://openalex.org/W2323245002","https://openalex.org/W2953421706","https://openalex.org/W2954733183","https://openalex.org/W2967432375","https://openalex.org/W3024858026","https://openalex.org/W3092020704","https://openalex.org/W3103623156","https://openalex.org/W4211007335","https://openalex.org/W4243070521","https://openalex.org/W6604081106","https://openalex.org/W6635703843","https://openalex.org/W6824739355"],"related_works":["https://openalex.org/W2068959772","https://openalex.org/W2096492364","https://openalex.org/W1599657088","https://openalex.org/W3167612752","https://openalex.org/W1967842420","https://openalex.org/W1493159477","https://openalex.org/W2775524850","https://openalex.org/W1513857664","https://openalex.org/W4210387885","https://openalex.org/W2059762196"],"abstract_inverted_index":{"In":[0],"this":[1],"manuscript,":[2],"we":[3,68,89],"provide":[4],"a":[5,81],"new":[6],"and":[7,20,24,74,97],"novel":[8],"generalization":[9],"of":[10,13,32,46,63],"the":[11,30,41,61],"concept":[12],"fuzzy":[14,34,51,71,94],"contractive":[15,72],"mappings":[16,73],"due":[17],"to":[18,59,79],"Gregori":[19],"Sapena":[21],"[Fuzzy":[22],"Sets":[23],"Systems":[25],"125":[26],"(2002)":[27],"245\u2013252]":[28],"in":[29],"setting":[31],"relational":[33],"metric":[35],"spaces.":[36],"Our":[37],"findings":[38],"possibly":[39],"pave":[40],"way":[42],"for":[43,85],"another":[44],"direction":[45],"relation-theoretic":[47],"as":[48,50],"well":[49],"fixed":[52,82],"point":[53,83],"theory.":[54],"We":[55],"illustrate":[56],"several":[57,91],"examples":[58],"show":[60],"usefulness":[62],"our":[64,76],"proven":[65],"results.":[66,99],"Moreover,":[67],"define":[69],"cyclic":[70],"utilize":[75],"main":[77],"results":[78,92],"prove":[80],"result":[84],"such":[86],"mappings.":[87],"Finally,":[88],"deduce":[90],"including":[93],"metric,":[95],"order-theoretic":[96],"\u03b1-admissible":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
