{"id":"https://openalex.org/W773468629","doi":"https://doi.org/10.11648/j.ajam.s.2015030301.17","title":"Fixed Point Theorems for Multivalued Contractive Mappings in Fuzzy Metric Spaces","display_name":"Fixed Point Theorems for Multivalued Contractive Mappings in Fuzzy Metric Spaces","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W773468629","doi":"https://doi.org/10.11648/j.ajam.s.2015030301.17","mag":"773468629"},"language":"en","primary_location":{"id":"doi:10.11648/j.ajam.s.2015030301.17","doi":"https://doi.org/10.11648/j.ajam.s.2015030301.17","is_oa":true,"landing_page_url":"https://doi.org/10.11648/j.ajam.s.2015030301.17","pdf_url":"http://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.17.pdf","source":{"id":"https://openalex.org/S2764633882","display_name":"American Journal of Applied Mathematics","issn_l":"2330-0043","issn":["2330-0043","2330-006X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319272","host_organization_name":"Science Publishing Group","host_organization_lineage":["https://openalex.org/P4310319272"],"host_organization_lineage_names":["Science Publishing Group"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"American Journal of Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.17.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057350160","display_name":"Basit Ali","orcid":"https://orcid.org/0000-0003-4111-5974","observed_orcids":["https://orcid.org/0000-0003-4111-5974"]},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Basit Ali","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town Lahore, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057350160"],"corresponding_institution_ids":["https://openalex.org/I87482320"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.01260906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"3","issue":"3","first_page":"41","last_page":"41"},"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":0.9660000205039978},{"id":"https://openalex.org/keywords/complete-fuzzy-metric-spaces","display_name":"complete fuzzy metric spaces","score":0.9390000104904175},{"id":"https://openalex.org/keywords/fuzzy-metric-spaces","display_name":"fuzzy metric spaces","score":0.8840000033378601}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8273566961288452},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7018395662307739},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5560240745544434},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5366857051849365},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5337392091751099},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5050247311592102},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4989049434661865},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4959450662136078},{"id":"https://openalex.org/C35767895","wikidata":"https://www.wikidata.org/wiki/Q5141583","display_name":"Coincidence point","level":3,"score":0.47927209734916687},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.47783350944519043},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.43339404463768005},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4254460036754608},{"id":"https://openalex.org/C145084290","wikidata":"https://www.wikidata.org/wiki/Q2713824","display_name":"Metric map","level":4,"score":0.41340571641921997},{"id":"https://openalex.org/C177547787","wikidata":"https://www.wikidata.org/wiki/Q6034319","display_name":"Injective metric space","level":3,"score":0.3089357614517212},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2528127431869507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15183427929878235},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06434297561645508},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.11648/j.ajam.s.2015030301.17","doi":"https://doi.org/10.11648/j.ajam.s.2015030301.17","is_oa":true,"landing_page_url":"https://doi.org/10.11648/j.ajam.s.2015030301.17","pdf_url":"http://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.17.pdf","source":{"id":"https://openalex.org/S2764633882","display_name":"American Journal of Applied Mathematics","issn_l":"2330-0043","issn":["2330-0043","2330-006X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319272","host_organization_name":"Science Publishing Group","host_organization_lineage":["https://openalex.org/P4310319272"],"host_organization_lineage_names":["Science Publishing Group"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"American Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.969.4093","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.969.4093","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.17.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.11648/j.ajam.s.2015030301.17","doi":"https://doi.org/10.11648/j.ajam.s.2015030301.17","is_oa":true,"landing_page_url":"https://doi.org/10.11648/j.ajam.s.2015030301.17","pdf_url":"http://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.17.pdf","source":{"id":"https://openalex.org/S2764633882","display_name":"American Journal of Applied Mathematics","issn_l":"2330-0043","issn":["2330-0043","2330-006X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319272","host_organization_name":"Science Publishing Group","host_organization_lineage":["https://openalex.org/P4310319272"],"host_organization_lineage_names":["Science Publishing Group"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"American Journal of Applied Mathematics","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/W773468629.pdf","grobid_xml":"https://content.openalex.org/works/W773468629.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W620846022","https://openalex.org/W1596940357","https://openalex.org/W1968172834","https://openalex.org/W1977800464","https://openalex.org/W1981992983","https://openalex.org/W1987761358","https://openalex.org/W1989411413","https://openalex.org/W1991182819","https://openalex.org/W2005433363","https://openalex.org/W2015930611","https://openalex.org/W2018783286","https://openalex.org/W2024992775","https://openalex.org/W2038300950","https://openalex.org/W2038301844","https://openalex.org/W2049442812","https://openalex.org/W2050691824","https://openalex.org/W2063109465","https://openalex.org/W2064092523","https://openalex.org/W2074773690","https://openalex.org/W2122598810","https://openalex.org/W2129941846","https://openalex.org/W2134682153","https://openalex.org/W2157326566","https://openalex.org/W2200810500","https://openalex.org/W2912565176","https://openalex.org/W6638088267"],"related_works":["https://openalex.org/W6977536596","https://openalex.org/W7220278592","https://openalex.org/W4405761995","https://openalex.org/W1991182819","https://openalex.org/W2238723887","https://openalex.org/W2098022765","https://openalex.org/W2556621670","https://openalex.org/W2811052619","https://openalex.org/W6977653434","https://openalex.org/W1978744119"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"multivalued":[5],"contractive":[6],"mappings":[7,23],"of":[8,27],"Feng-Liu":[9],"type":[10],"in":[11,24,48],"complete":[12],"fuzzy":[13,28],"metric":[14,29],"spaces.":[15,30],"We":[16,31],"prove":[17],"fixed":[18],"point":[19],"theorems":[20],"for":[21],"such":[22],"the":[25,49],"context":[26],"provide":[32],"with":[33],"an":[34],"example":[35],"to":[36],"show":[37],"that":[38],"our":[39],"results":[40,47],"are":[41],"more":[42],"general":[43],"than":[44],"previously":[45],"obtained":[46],"literature.":[50]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}