{"id":"https://openalex.org/W3089935777","doi":"https://doi.org/10.3233/jifs-200319","title":"Fuzzy <i>\u0398</i> <sub> <i>f</i> </sub> -contractive mappings and their fixed points with applications","display_name":"Fuzzy <i>\u0398</i> <sub> <i>f</i> </sub> -contractive mappings and their fixed points with applications","publication_year":2020,"publication_date":"2020-09-28","ids":{"openalex":"https://openalex.org/W3089935777","doi":"https://doi.org/10.3233/jifs-200319","mag":"3089935777"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-200319","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-200319","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/A5027789440","display_name":"Hayel N. Saleh","orcid":"https://orcid.org/0000-0002-8343-4036"},"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"]},{"id":"https://openalex.org/I36197038","display_name":"Taiz University","ror":"https://ror.org/03jwcxq96","country_code":"YE","type":"education","lineage":["https://openalex.org/I36197038"]}],"countries":["IN","YE"],"is_corresponding":true,"raw_author_name":"Hayel Nasr Saleh","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India","Department of Mathematics, Taiz University, Taiz, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India","institution_ids":["https://openalex.org/I171210897"]},{"raw_affiliation_string":"Department of Mathematics, Taiz University, Taiz, Yemen","institution_ids":["https://openalex.org/I36197038"]}]},{"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-202002, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056042110","display_name":"Idrees A. Khan","orcid":"https://orcid.org/0000-0003-0856-6538"},"institutions":[{"id":"https://openalex.org/I189949046","display_name":"Integral University","ror":"https://ror.org/039zd5s34","country_code":"IN","type":"education","lineage":["https://openalex.org/I189949046"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Idrees Khan","raw_affiliation_strings":["Department of Mathematics, Integral University, Lucknow, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Integral University, Lucknow, India","institution_ids":["https://openalex.org/I189949046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062754242","display_name":"Md Hasanuzzaman","orcid":"https://orcid.org/0000-0003-0114-1393"},"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":"Md Hasanuzzaman","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India","institution_ids":["https://openalex.org/I171210897"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027789440"],"corresponding_institution_ids":["https://openalex.org/I171210897","https://openalex.org/I36197038"],"apc_list":null,"apc_paid":null,"fwci":3.0966,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.91768188,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"39","issue":"5","first_page":"7097","last_page":"7106"},"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9383999705314636,"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/mathematics","display_name":"Mathematics","score":0.7784005403518677},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5919220447540283},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5831456184387207},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5357612371444702},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5186173915863037},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4979286193847656},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.47989070415496826},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4232601523399353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2154410183429718},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1636694371700287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10001784563064575}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7784005403518677},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5919220447540283},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5831456184387207},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5357612371444702},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5186173915863037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4979286193847656},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.47989070415496826},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4232601523399353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2154410183429718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1636694371700287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10001784563064575},{"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/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-200319","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-200319","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1596940357","https://openalex.org/W1968172834","https://openalex.org/W1977299782","https://openalex.org/W1981992983","https://openalex.org/W1987761358","https://openalex.org/W1991182819","https://openalex.org/W2008230680","https://openalex.org/W2037289401","https://openalex.org/W2049226309","https://openalex.org/W2056921237","https://openalex.org/W2074773690","https://openalex.org/W2077731007","https://openalex.org/W2079096866","https://openalex.org/W2094611044","https://openalex.org/W2108028062","https://openalex.org/W2124196712","https://openalex.org/W2138309213","https://openalex.org/W2342611396","https://openalex.org/W2604869530","https://openalex.org/W2628950606","https://openalex.org/W2791092409","https://openalex.org/W2793239382","https://openalex.org/W2950365373","https://openalex.org/W2967432375","https://openalex.org/W2970033543","https://openalex.org/W2978695954","https://openalex.org/W3007065154","https://openalex.org/W4211007335","https://openalex.org/W6635703843","https://openalex.org/W6999455387"],"related_works":["https://openalex.org/W1966428183","https://openalex.org/W2910630640","https://openalex.org/W2787495856","https://openalex.org/W3018868847","https://openalex.org/W3003266173","https://openalex.org/W1979481152","https://openalex.org/W1575298045","https://openalex.org/W2598298563","https://openalex.org/W1587207900","https://openalex.org/W1537012066"],"abstract_inverted_index":{"In":[0,114],"the":[1,6,67,108],"present":[2],"article,":[3],"inspired":[4],"by":[5,43,65],"work":[7],"of":[8,33,69,81,90,110,116],"Jleli":[9],"et":[10],"al.":[11],"[J.":[12,19],"Inequal.":[13,20],"Appl.":[14,21],"2014,":[15,22],"38":[16],"(2014)]":[17,24],"and":[18,112],"439":[23],"in":[25,101],"metric":[26,105],"spaces,":[27],"we":[28,121],"proposed":[29],"a":[30],"new":[31],"class":[32,60,68,80],"contractive":[34,74,82,91],"mappings":[35,42,75,92],"termed":[36],"as:":[37],"fuzzy":[38,70,104],"\u0398":[39,48,71],"f":[40,49,72],"-contractive":[41],"using":[44],"an":[45],"auxiliary":[46],"function":[47],":":[50],"(0,":[51,54],"1)":[52,55],"\u2192":[53],"satisfying":[56],"suitable":[57],"properties.":[58],"This":[59],"has":[61],"further":[62],"been":[63],"weakened":[64],"defining":[66],"-weak":[73],"to":[76,95,128],"realize":[77],"yet":[78],"another":[79],"mappings.":[83],"Thereafter,":[84],"these":[85],"two":[86],"newly":[87,118],"introduced":[88],"classes":[89],"are":[93],"utilized":[94],"establish":[96],"some":[97,123],"fixed":[98],"point":[99],"theorems":[100],"M":[102],"-complete":[103],"spaces":[106],"(in":[107],"sense":[109],"George":[111],"Veeramani).":[113],"support":[115],"our":[117],"obtained":[119],"results,":[120],"provide":[122],"examples":[124],"besides":[125],"furnishing":[126],"applications":[127],"dynamic":[129],"programming.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2020-10-08T00:00:00"}