{"id":"https://openalex.org/W6921234770","doi":"https://doi.org/10.71602/tfss.2024.1183360","title":"Nonlinear Contraction Mappings in b-metric Space and Related Fixed Point Results with Application","display_name":"Nonlinear Contraction Mappings in b-metric Space and Related Fixed Point Results with Application","publication_year":2024,"publication_date":"2024-05-27","ids":{"openalex":"https://openalex.org/W6921234770","doi":"https://doi.org/10.71602/tfss.2024.1183360"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:cb0a76454b8e4ef1b683bc75b463329c","is_oa":true,"landing_page_url":"https://doaj.org/article/cb0a76454b8e4ef1b683bc75b463329c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Fuzzy Sets and Systems, Vol 3, Iss 2, Pp 37-50 (2024)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/cb0a76454b8e4ef1b683bc75b463329c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Raji, Muhammed","orcid":"https://orcid.org/0000-0002-4354-2323"},"institutions":[{"id":"https://openalex.org/I2800190170","display_name":"Federal University Lokoja","ror":"https://ror.org/018ced875","country_code":"NG","type":"education","lineage":["https://openalex.org/I2800190170"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"Raji, Muhammed","raw_affiliation_strings":["Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria"],"raw_orcid":"https://orcid.org/0000-0002-4354-2323","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria","institution_ids":["https://openalex.org/I2800190170"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kumar Rajpoot, Arvind","orcid":"https://orcid.org/0000-0003-3013-7908"},"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":"Kumar Rajpoot, Arvind","raw_affiliation_strings":["Department of Mathematics Aligarh Muslim University Aligarh 202002, India"],"raw_orcid":"https://orcid.org/0000-0003-3013-7908","affiliations":[{"raw_affiliation_string":"Department of Mathematics Aligarh Muslim University Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rathour, Laxmi","orcid":"https://orcid.org/0000-0002-2659-7568"},"institutions":[{"id":"https://openalex.org/I296362101","display_name":"Indira Gandhi National Tribal University","ror":"https://ror.org/04yayy336","country_code":"IN","type":"education","lineage":["https://openalex.org/I296362101"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rathour, Laxmi","raw_affiliation_strings":["Department of Mathematics,Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India"],"raw_orcid":"https://orcid.org/0000-0002-2659-7568","affiliations":[{"raw_affiliation_string":"Department of Mathematics,Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India","institution_ids":["https://openalex.org/I296362101"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Narayan Mishra, Lakshmi","orcid":"https://orcid.org/0000-0001-7774-7290"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Narayan Mishra, Lakshmi","raw_affiliation_strings":["Department of Mathematics School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014 Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0001-7774-7290","affiliations":[{"raw_affiliation_string":"Department of Mathematics School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014 Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":null,"display_name":"Narayan Mishra, Vishnu","orcid":"https://orcid.org/0000-0002-2159-7710"},"institutions":[{"id":"https://openalex.org/I296362101","display_name":"Indira Gandhi National Tribal University","ror":"https://ror.org/04yayy336","country_code":"IN","type":"education","lineage":["https://openalex.org/I296362101"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Narayan Mishra, Vishnu","raw_affiliation_strings":["Department of Mathematics,Indira Gandhi National Tribal University,Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India"],"raw_orcid":"https://orcid.org/0000-0002-2159-7710","affiliations":[{"raw_affiliation_string":"Department of Mathematics,Indira Gandhi National Tribal University,Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India","institution_ids":["https://openalex.org/I296362101"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2800190170"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.45826738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9979000091552734,"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":0.9979000091552734,"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":0.0006000000284984708,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":9.999999747378752e-05,"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","display_name":"Fixed point","score":0.8166999816894531},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.7445999979972839},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.7037000060081482},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6322000026702881},{"id":"https://openalex.org/keywords/coincidence-point","display_name":"Coincidence point","score":0.5091999769210815},{"id":"https://openalex.org/keywords/fixed-point-property","display_name":"Fixed-point property","score":0.49889999628067017},{"id":"https://openalex.org/keywords/contraction-mapping","display_name":"Contraction mapping","score":0.40560001134872437},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.39410001039505005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8271999955177307},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.8166999816894531},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7445999979972839},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.7037000060081482},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6322000026702881},{"id":"https://openalex.org/C35767895","wikidata":"https://www.wikidata.org/wiki/Q5141583","display_name":"Coincidence point","level":3,"score":0.5091999769210815},{"id":"https://openalex.org/C105720234","wikidata":"https://www.wikidata.org/wiki/Q5456331","display_name":"Fixed-point property","level":3,"score":0.49889999628067017},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4205000102519989},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.40560001134872437},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.39410001039505005},{"id":"https://openalex.org/C27333817","wikidata":"https://www.wikidata.org/wiki/Q6134913","display_name":"Least fixed point","level":5,"score":0.3846000134944916},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3837999999523163},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C93361540","wikidata":"https://www.wikidata.org/wiki/Q848569","display_name":"Complete metric space","level":3,"score":0.30630001425743103},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26899999380111694},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.2630999982357025},{"id":"https://openalex.org/C2775958659","wikidata":"https://www.wikidata.org/wiki/Q5165690","display_name":"Contraction principle","level":3,"score":0.25929999351501465}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:doaj.org/article:cb0a76454b8e4ef1b683bc75b463329c","is_oa":true,"landing_page_url":"https://doaj.org/article/cb0a76454b8e4ef1b683bc75b463329c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Fuzzy Sets and Systems, Vol 3, Iss 2, Pp 37-50 (2024)","raw_type":"article"},{"id":"doi:10.71602/tfss.2024.1183360","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2024.1183360","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:cb0a76454b8e4ef1b683bc75b463329c","is_oa":true,"landing_page_url":"https://doaj.org/article/cb0a76454b8e4ef1b683bc75b463329c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Fuzzy Sets and Systems, Vol 3, Iss 2, Pp 37-50 (2024)","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"paper":[1],"aims":[2],"to":[3,17],"introduce":[4],"some":[5],"fixed":[6,30,37],"point":[7,31,38],"results":[8],"in":[9,57],"the":[10,26,45],"setting":[11],"of":[12,48],"sequential":[13],"compact":[14],"b-metric":[15],"spaces":[16,35],"prove":[18],"Eldeisten-Suzuki-type":[19],"contraction":[20],"for":[21,32],"self-mappings\u200e.":[22],"\u200eThese":[23],"contributions":[24],"extend":[25],"existing":[27],"literature":[28],"on":[29],"ordered":[33],"metric":[34],"and":[36,52],"theory\u200e.":[39],"\u200eThrough":[40],"illustrative":[41],"examples\u200e,":[42],"\u200ewe":[43],"showcase":[44],"practical":[46],"applicability":[47],"our":[49],"proposed":[50],"notions":[51],"results\u200e,":[53],"\u200edemonstrating":[54],"their":[55],"effectiveness":[56],"real-world":[58],"scenarios\u200e.":[59]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
