{"id":"https://openalex.org/W2305226781","doi":"https://doi.org/10.3233/ifs-152065","title":"A novel framework of complex valued fuzzy metric spaces and fixed point theorems1","display_name":"A novel framework of complex valued fuzzy metric spaces and fixed point theorems1","publication_year":2016,"publication_date":"2016-04-30","ids":{"openalex":"https://openalex.org/W2305226781","doi":"https://doi.org/10.3233/ifs-152065","mag":"2305226781"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-152065","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-152065","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 & 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/A5056648614","display_name":"Deepak Singh","orcid":"https://orcid.org/0000-0003-3484-727X"},"institutions":[{"id":"https://openalex.org/I4210094264","display_name":"National Institute of Technical Teachers\u2019 Training and Research","ror":"https://ror.org/00k8f0f41","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210094264"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Deepak Singh","raw_affiliation_strings":["Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal, (M.P.), India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal, (M.P.), India","institution_ids":["https://openalex.org/I4210094264"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062735545","display_name":"Vishal Joshi","orcid":"https://orcid.org/0000-0003-1922-2677"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vishal Joshi","raw_affiliation_strings":["Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, (M.P.), India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, (M.P.), India","institution_ids":[]}]},{"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"],"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/A5036720066","display_name":"Poom Kumam","orcid":"https://orcid.org/0000-0002-5463-4581"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["TH","TW"],"is_corresponding":true,"raw_author_name":"Poom Kumam","raw_affiliation_strings":["China Medical University, Taichung, Taiwan","Theoretical and Computational Science Center (TaCS) & Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand","Theoretical and Computational Science Center (TaCS) & Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand"],"affiliations":[{"raw_affiliation_string":"China Medical University, Taichung, Taiwan","institution_ids":["https://openalex.org/I184693016"]},{"raw_affiliation_string":"Theoretical and Computational Science Center (TaCS) & Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Theoretical and Computational Science Center (TaCS) & Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand","institution_ids":["https://openalex.org/I60837268"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5036720066"],"corresponding_institution_ids":["https://openalex.org/I184693016","https://openalex.org/I60837268"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.0587442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"6","first_page":"3227","last_page":"3238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9408000111579895,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9279000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6818751096725464},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6589048504829407},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.62333744764328},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5037063956260681},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46911337971687317},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43901675939559937},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4316733479499817},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3074585199356079},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20550930500030518},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1186380386352539},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.04350915551185608}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6818751096725464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6589048504829407},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.62333744764328},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5037063956260681},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46911337971687317},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43901675939559937},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4316733479499817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3074585199356079},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20550930500030518},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1186380386352539},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.04350915551185608},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-152065","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-152065","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 & 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":23,"referenced_works":["https://openalex.org/W116807629","https://openalex.org/W338628235","https://openalex.org/W1575562941","https://openalex.org/W1596940357","https://openalex.org/W1898259180","https://openalex.org/W1976323434","https://openalex.org/W1987761358","https://openalex.org/W1990477786","https://openalex.org/W1995589510","https://openalex.org/W2001930776","https://openalex.org/W2011023980","https://openalex.org/W2011328341","https://openalex.org/W2032521963","https://openalex.org/W2039431840","https://openalex.org/W2049193003","https://openalex.org/W2052800992","https://openalex.org/W2074773690","https://openalex.org/W2097403045","https://openalex.org/W2274736305","https://openalex.org/W2324377781","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W6634305377"],"related_works":["https://openalex.org/W2113777744","https://openalex.org/W2467751856","https://openalex.org/W2162275906","https://openalex.org/W1979481152","https://openalex.org/W2161430598","https://openalex.org/W1575298045","https://openalex.org/W1980523546","https://openalex.org/W1543918916","https://openalex.org/W2034334814","https://openalex.org/W2068959772"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"recognizing":[3],"the":[4,20,43,46,65],"innovative":[5],"concept":[6],"of":[7,22,51,68],"complex":[8,23,33,47],"valued":[9,24,34,48],"fuzzy":[10,25,35,49],"set":[11],"due":[12],"to":[13],"Ramot":[14],"et":[15],"al.":[16],"[1],":[17],"we":[18],"introduce":[19],"notion":[21],"metric":[26,36,58],"spaces.":[27],"Several":[28],"allied":[29],"topological":[30],"aspects":[31],"for":[32],"spaces":[37,59],"are":[38,71,82],"also":[39],"defined":[40],"which":[41],"fortify":[42],"concept.":[44],"Moreover":[45],"version":[50],"some":[52,74],"celebrated":[53],"and":[54,64],"essential":[55],"results":[56],"from":[57],"including":[60],"Banach":[61],"contraction":[62],"principle":[63],"main":[66],"theorem":[67],"Jungck":[69],"[2]":[70],"established.":[72],"Additionally":[73],"fixed":[75],"point":[76],"theorems":[77],"satisfying":[78],"certain":[79],"rational":[80],"expressions":[81],"proved.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}