{"id":"https://openalex.org/W4291743459","doi":"https://doi.org/10.3390/axioms11080405","title":"A New Contraction-Type Mapping on a Vectorial Dislocated Metric Space over Topological Modules","display_name":"A New Contraction-Type Mapping on a Vectorial Dislocated Metric Space over Topological Modules","publication_year":2022,"publication_date":"2022-08-15","ids":{"openalex":"https://openalex.org/W4291743459","doi":"https://doi.org/10.3390/axioms11080405"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11080405","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080405","pdf_url":"https://www.mdpi.com/2075-1680/11/8/405/pdf?version=1661338343","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/8/405/pdf?version=1661338343","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040676678","display_name":"Ion Marian Olaru","orcid":"https://orcid.org/0000-0001-7283-6737"},"institutions":[{"id":"https://openalex.org/I124121301","display_name":"Lucian Blaga University of Sibiu","ror":"https://ror.org/026gdz537","country_code":"RO","type":"education","lineage":["https://openalex.org/I124121301"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Ion Marian Olaru","raw_affiliation_strings":["Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Dr. I. Ra\u0163iu Street, No. 5\u20137, 550012 Sibiu, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Dr. I. Ra\u0163iu Street, No. 5\u20137, 550012 Sibiu, Romania","institution_ids":["https://openalex.org/I124121301"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040676678"],"corresponding_institution_ids":["https://openalex.org/I124121301"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16775599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"8","first_page":"405","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.6796404719352722},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6379810571670532},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5853557586669922},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5834842920303345},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.45014411211013794},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.423534631729126},{"id":"https://openalex.org/keywords/complete-metric-space","display_name":"Complete metric space","score":0.4136781692504883},{"id":"https://openalex.org/keywords/cauchy-sequence","display_name":"Cauchy sequence","score":0.4111385941505432},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4054112732410431},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39049285650253296},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3191344738006592}],"concepts":[{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6796404719352722},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6379810571670532},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5853557586669922},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5834842920303345},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.45014411211013794},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.423534631729126},{"id":"https://openalex.org/C93361540","wikidata":"https://www.wikidata.org/wiki/Q848569","display_name":"Complete metric space","level":3,"score":0.4136781692504883},{"id":"https://openalex.org/C203192437","wikidata":"https://www.wikidata.org/wiki/Q217847","display_name":"Cauchy sequence","level":2,"score":0.4111385941505432},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4054112732410431},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39049285650253296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3191344738006592},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11080405","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080405","pdf_url":"https://www.mdpi.com/2075-1680/11/8/405/pdf?version=1661338343","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:69506f070d5642a8a49deb56a748367a","is_oa":true,"landing_page_url":"https://doaj.org/article/69506f070d5642a8a49deb56a748367a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 8, p 405 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/8/405/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11080405","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 8; Pages: 405","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11080405","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080405","pdf_url":"https://www.mdpi.com/2075-1680/11/8/405/pdf?version=1661338343","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8582255004","display_name":null,"funder_award_id":"LBUS-IRG-2022-08","funder_id":"https://openalex.org/F4320329279","funder_display_name":"Universitatea \"Lucian Blaga\" din Sibiu"}],"funders":[{"id":"https://openalex.org/F4320329279","display_name":"Universitatea \"Lucian Blaga\" din Sibiu","ror":"https://ror.org/026gdz537"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4291743459.pdf","grobid_xml":"https://content.openalex.org/works/W4291743459.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W565649948","https://openalex.org/W1979636809","https://openalex.org/W1985437914","https://openalex.org/W2028276782","https://openalex.org/W2107929732","https://openalex.org/W2157227897","https://openalex.org/W2166280309","https://openalex.org/W3023151095","https://openalex.org/W3042637314","https://openalex.org/W3174484797","https://openalex.org/W4200303679","https://openalex.org/W6682880166"],"related_works":["https://openalex.org/W3021341953","https://openalex.org/W4301329516","https://openalex.org/W2074694855","https://openalex.org/W4317914668","https://openalex.org/W3103277056","https://openalex.org/W61445665","https://openalex.org/W4291017225","https://openalex.org/W3117679268","https://openalex.org/W1988206529","https://openalex.org/W343637954"],"abstract_inverted_index":{"One":[0],"recent":[1],"and":[2,42,52,134],"prolific":[3],"direction":[4],"in":[5],"the":[6,50,55,62,75,95,102,109,122,135,144,152,167,175],"development":[7],"of":[8,33,58,64,77,82,104,116,124,137,143,177],"fixed":[9,56,156],"point":[10,57,157],"theory":[11,98],"is":[12,25,119,159],"to":[13,101,120],"consider":[14],"an":[15,26,162],"operator":[16,59,163],"T:X\u2192X":[17],"defined":[18,173],"on":[19,151,174],"a":[20,31,67,80,130,141,155,178],"metric":[21,68,106,127],"space":[22,69,107,128],"(X,d)":[23,70],"which":[24,48,165],"F\u2014contraction,":[27],"i.e.,":[28,79],"T":[29],"verifies":[30],"condition":[32,81,168],"type":[34,83],"\u03c4+F(d(T(x),T(y))\u2264F(d(x,y)),":[35],"for":[36,54,85,89,161],"all":[37,86],"x,y\u2208X,":[38,87],"T(x)\u2260T(y),":[39],"where":[40,170],"\u03c4>0":[41],"F:(0,\u221e)\u2192R":[43],"satisfies":[44,166],"some":[45,90],"suitable":[46],"conditions":[47],"ensure":[49],"existence":[51],"uniqueness":[53],"T.":[60],"Moreover,":[61],"notion":[63,76,136],"F-contraction":[65,97],"over":[66,108,129],"was":[71,99],"generalized":[72],"by":[73],"considering":[74],"(G,H)\u2014contraction,":[78,169],"G(d(Tx,Ty))\u2264H(d(x,y)),":[84],"Tx\u2260Ty":[88],"appropriate":[91],"G,H:(0,\u221e)\u2192R":[92],"functions.":[93],"Recently,":[94],"abovementioned":[96],"extended":[100],"setup":[103],"cone":[105],"topological":[110,131],"left":[111,132],"modules.":[112],"The":[113],"principal":[114],"objective":[115],"this":[117],"paper":[118],"introduce":[121],"concept":[123],"vectorial":[125],"dislocated":[126],"module":[133],"A-Cauchy":[138],"sequence,":[139],"as":[140],"generalization":[142],"classical":[145],"Cauchy":[146],"sequence":[147],"concept.":[148],"Furthermore,":[149],"based":[150],"introduced":[153],"concept,":[154],"result":[158],"provided":[160],"T:X\u2192X,":[164],"G,H":[171],"are":[172],"interior":[176],"solid":[179],"cone.":[180]},"counts_by_year":[],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}