{"id":"https://openalex.org/W3135419095","doi":"https://doi.org/10.1080/00207160.2021.1897979","title":"Solving Fredholm integral inclusion for L-fuzzy mappings","display_name":"Solving Fredholm integral inclusion for L-fuzzy mappings","publication_year":2021,"publication_date":"2021-03-02","ids":{"openalex":"https://openalex.org/W3135419095","doi":"https://doi.org/10.1080/00207160.2021.1897979","mag":"3135419095"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2021.1897979","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1897979","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5012571701","display_name":"Afrah A. N. Abdou","orcid":"https://orcid.org/0000-0001-8196-348X"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Afrah A. N. Abdou","raw_affiliation_strings":["Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012886973","display_name":"Jamshaid Ahmad","orcid":"https://orcid.org/0000-0003-4755-7044"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Jamshaid Ahmad","raw_affiliation_strings":["Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012886973"],"corresponding_institution_ids":["https://openalex.org/I4210099699"],"apc_list":null,"apc_paid":null,"fwci":0.4042,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56682825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"98","issue":"12","first_page":"2393","last_page":"2405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":1.0,"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":1.0,"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":0.9908999800682068,"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"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8394832611083984},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.705119788646698},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5671173334121704},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4736548662185669},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43809300661087036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40195921063423157},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3477354645729065},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3406194746494293},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33946144580841064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13699185848236084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09658637642860413}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8394832611083984},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.705119788646698},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5671173334121704},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4736548662185669},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43809300661087036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40195921063423157},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3477354645729065},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3406194746494293},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33946144580841064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13699185848236084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09658637642860413},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2021.1897979","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1897979","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320329038","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W2033441719","https://openalex.org/W2052463029","https://openalex.org/W2054416947","https://openalex.org/W2109346699","https://openalex.org/W2129941846","https://openalex.org/W2142381065","https://openalex.org/W2153740423","https://openalex.org/W2504869222","https://openalex.org/W2573998298","https://openalex.org/W2579606039","https://openalex.org/W2793429460","https://openalex.org/W2902332054","https://openalex.org/W2913670109","https://openalex.org/W2972017326","https://openalex.org/W3036231752","https://openalex.org/W3126394590","https://openalex.org/W4211007335","https://openalex.org/W4231419357"],"related_works":["https://openalex.org/W172868526","https://openalex.org/W1992542841","https://openalex.org/W2106295220","https://openalex.org/W2159852845","https://openalex.org/W3096632117","https://openalex.org/W2056761131","https://openalex.org/W2054655725","https://openalex.org/W3048199905","https://openalex.org/W2183760024","https://openalex.org/W2075826453"],"abstract_inverted_index":{"The":[0],"main":[1,43],"focus":[2],"of":[3,19,45,52,73],"this":[4,25],"paper":[5],"is":[6],"to":[7],"solve":[8],"the":[9,17,42,93],"Fredholm":[10],"integral":[11],"inclusion":[12],"for":[13,35],"L-fuzzy":[14,31,36],"mapping":[15],"in":[16,80],"setting":[18],"complete":[20],"b-metric":[21,81],"spaces.":[22],"To":[23,91],"attain":[24],"target,":[26],"we":[27,97],"obtain":[28],"some":[29],"common":[30],"fixed":[32,50,77],"point":[33,78],"results":[34,44],"mappings":[37,54],"under":[38],"F-contraction":[39],"and":[40,57,68,95],"derive":[41],"Ahmad":[46],"et":[47,70],"al.":[48,71],"[Fuzzy":[49],"points":[51],"fuzzy":[53],"via":[55,76],"F-contractions":[56],"an":[58,100],"applications,":[59],"J.":[60],"Intelligent":[61],"Fuzzy":[62],"Syst.":[63],"38":[64],"(2019),":[65],"pp.":[66,89],"1\u20137]":[67],"Cosentino":[69],"[Solvability":[72],"integrodifferential":[74],"problems":[75],"theory":[79],"spaces,":[82],"Fixed":[83],"Point":[84],"Theor.":[85],"Appl.":[86],"70":[87],"(2015),":[88],"1\u201315].":[90],"justify":[92],"notions":[94],"outcomes,":[96],"also":[98],"demonstrate":[99],"appropriate":[101],"example.":[102]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
