{"id":"https://openalex.org/W3171283943","doi":"https://doi.org/10.18514/mmn.2021.3173","title":"Fixed point theorems in complex valued fuzzy b-metric spaces with application to integral equations","display_name":"Fixed point theorems in complex valued fuzzy b-metric spaces with application to integral equations","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3171283943","doi":"https://doi.org/10.18514/mmn.2021.3173","mag":"3171283943"},"language":"en","primary_location":{"id":"doi:10.18514/mmn.2021.3173","doi":"https://doi.org/10.18514/mmn.2021.3173","is_oa":true,"landing_page_url":"https://doi.org/10.18514/mmn.2021.3173","pdf_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3173.pdf","source":{"id":"https://openalex.org/S2489302003","display_name":"Miskolc mathematical notes/Mathematical notes","issn_l":"1586-8850","issn":["1586-8850","1787-2405","1787-2413"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Miskolc Mathematical Notes","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3173.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073600507","display_name":"\u0130zzettin Demir","orcid":"https://orcid.org/0000-0003-0298-2872","observed_orcids":["https://orcid.org/0000-0003-0298-2872"]},"institutions":[{"id":"https://openalex.org/I54001450","display_name":"D\u00fczce \u00dcniversitesi","ror":"https://ror.org/04175wc52","country_code":"TR","type":"education","lineage":["https://openalex.org/I54001450"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Izzettin Demir","raw_affiliation_strings":["Duzce University , Faculty of Science and Arts , Department of Mathematics , 81620 Duzce , Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duzce University , Faculty of Science and Arts , Department of Mathematics , 81620 Duzce , Turkey","institution_ids":["https://openalex.org/I54001450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073600507"],"corresponding_institution_ids":["https://openalex.org/I54001450"],"apc_list":null,"apc_paid":null,"fwci":2.4011,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86929979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"22","issue":"1","first_page":"153","last_page":"153"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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-theorems","display_name":"fixed point theorems","score":0.9240000247955322},{"id":"https://openalex.org/keywords/fuzzy-b-metric-spaces","display_name":"fuzzy b-metric spaces","score":0.925000011920929},{"id":"https://openalex.org/keywords/nonlinear-integral-equations","display_name":"nonlinear integral equations","score":0.8240000009536743},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.9829999804496765},{"id":"https://openalex.org/keywords/topological-properties","display_name":"topological properties","score":0.7170000076293945},{"id":"https://openalex.org/keywords/generalized-metric-spaces","display_name":"generalized metric spaces","score":0.5260000228881836}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.911031186580658},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6164109706878662},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5119696855545044},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.4700773060321808},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46718791127204895},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43554604053497314},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.42042669653892517},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.41177111864089966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3470420837402344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32913267612457275},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3223474621772766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.059554845094680786},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.18514/mmn.2021.3173","doi":"https://doi.org/10.18514/mmn.2021.3173","is_oa":true,"landing_page_url":"https://doi.org/10.18514/mmn.2021.3173","pdf_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3173.pdf","source":{"id":"https://openalex.org/S2489302003","display_name":"Miskolc mathematical notes/Mathematical notes","issn_l":"1586-8850","issn":["1586-8850","1787-2405","1787-2413"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Miskolc Mathematical Notes","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:126468","doi":null,"is_oa":false,"landing_page_url":"http://real.mtak.hu/126468/1/3173.pdf","pdf_url":"http://real.mtak.hu/126468/1/3173.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:acikerisim.duzce.edu.tr:20.500.12684/10278","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.12684/10278","pdf_url":null,"source":{"id":"https://openalex.org/S4377196355","display_name":"DSpace - D\u00fczce (Duzce University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I54001450","host_organization_name":"D\u00fczce \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I54001450"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.18514/mmn.2021.3173","doi":"https://doi.org/10.18514/mmn.2021.3173","is_oa":true,"landing_page_url":"https://doi.org/10.18514/mmn.2021.3173","pdf_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3173.pdf","source":{"id":"https://openalex.org/S2489302003","display_name":"Miskolc mathematical notes/Mathematical notes","issn_l":"1586-8850","issn":["1586-8850","1787-2405","1787-2413"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Miskolc Mathematical Notes","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3171283943.pdf","grobid_xml":"https://content.openalex.org/works/W3171283943.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W72134831","https://openalex.org/W892972890","https://openalex.org/W1573850689","https://openalex.org/W1596940357","https://openalex.org/W1780385472","https://openalex.org/W2001930776","https://openalex.org/W2011328341","https://openalex.org/W2038300950","https://openalex.org/W2049226309","https://openalex.org/W2074773690","https://openalex.org/W2076683568","https://openalex.org/W2100740814","https://openalex.org/W2103883804","https://openalex.org/W2144184801","https://openalex.org/W2186054500","https://openalex.org/W2318537582","https://openalex.org/W2497887617","https://openalex.org/W2504767344","https://openalex.org/W2601566157","https://openalex.org/W2761711940","https://openalex.org/W2791092409","https://openalex.org/W2791986169","https://openalex.org/W2793405200","https://openalex.org/W2794105252","https://openalex.org/W2809315816","https://openalex.org/W2908949026","https://openalex.org/W2923992724","https://openalex.org/W6758652401"],"related_works":["https://openalex.org/W7166822648","https://openalex.org/W4294012288","https://openalex.org/W7128019621","https://openalex.org/W4393348525","https://openalex.org/W3192898492","https://openalex.org/W7128492958","https://openalex.org/W4415904027","https://openalex.org/W7165608303","https://openalex.org/W4389348888","https://openalex.org/W4396599220"],"abstract_inverted_index":{"In":[0],"this":[1,35],"paper,":[2],"firstly,":[3],"we":[4,26,37,77],"introduce":[5],"the":[6,19,44,58,61,69,74,82],"concept":[7],"of":[8,21,29,46,60,86,92],"a":[9,89],"complex":[10,47],"valued":[11,48],"fuzzy":[12,49],"b-metric":[13,50],"space,":[14],"which":[15,33],"is":[16],"inspired":[17],"by":[18],"work":[20],"Shukla":[22],"et":[23],"al.":[24],"[24].Also,":[25],"investigate":[27],"some":[28,39,79],"its":[30],"topological":[31],"properties":[32],"strengthen":[34],"concept.Next,":[36],"establish":[38],"fixed":[40],"point":[41],"theorems":[42],"in":[43,73],"context":[45],"spaces":[51],"and":[52,67,84],"give":[53],"suitable":[54],"examples":[55],"to":[56],"illustrate":[57],"usability":[59],"obtained":[62],"main":[63],"results.These":[64],"results":[65,71],"extend":[66],"generalize":[68],"corresponding":[70],"given":[72],"existing":[75],"literature.Moreover,":[76],"provide":[78],"applications":[80],"on":[81],"existence":[83],"uniqueness":[85],"solutions":[87],"for":[88],"certain":[90],"type":[91],"nonlinear":[93],"integral":[94],"equations.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2021-06-22T00:00:00"}
