{"id":"https://openalex.org/W4393336095","doi":"https://doi.org/10.48550/arxiv.2403.19488","title":"Mappings contracting triangles","display_name":"Mappings contracting triangles","publication_year":2024,"publication_date":"2024-03-28","ids":{"openalex":"https://openalex.org/W4393336095","doi":"https://doi.org/10.48550/arxiv.2403.19488"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2403.19488","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.19488","pdf_url":"https://arxiv.org/pdf/2403.19488","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2403.19488","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065835691","display_name":"Ovidiu Popescu","orcid":"https://orcid.org/0009-0001-7657-1497","observed_orcids":["https://orcid.org/0009-0001-7657-1497"]},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Popescu, Ovidiu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science , Transilvania University of Bra\u015fov , Bulevardul Eroilor 29 , Bra\u015fov"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science , Transilvania University of Bra\u015fov , Bulevardul Eroilor 29 , Bra\u015fov","institution_ids":["https://openalex.org/I3123573182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002284193","display_name":"Cristina Maria P\u0103curar","orcid":"https://orcid.org/0000-0002-2195-8694","observed_orcids":["https://orcid.org/0000-0002-2195-8694"]},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Pacurar, Cristina Maria","raw_affiliation_strings":["Faculty of Mathematics and Computer Science , Transilvania University of Bra\u015fov , Bulevardul Eroilor 29 , Bra\u015fov"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science , Transilvania University of Bra\u015fov , Bulevardul Eroilor 29 , Bra\u015fov","institution_ids":["https://openalex.org/I3123573182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3123573182"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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/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"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","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"}}],"keywords":[{"id":"https://openalex.org/keywords/contraction-mapping-principle","display_name":"contractive mappings","score":0.9950000047683716},{"id":"https://openalex.org/keywords/fixed-point-theorems","display_name":"fixed point theorems","score":0.9190000295639038},{"id":"https://openalex.org/keywords/continuity-of-mappings","display_name":"continuity of mappings","score":0.9610000252723694},{"id":"https://openalex.org/keywords/triangle-inequality","display_name":"triangle inequality","score":0.43799999356269836}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5093968510627747},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.3248782753944397}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2403.19488","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.19488","pdf_url":"https://arxiv.org/pdf/2403.19488","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2403.19488","doi":"https://doi.org/10.48550/arxiv.2403.19488","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2403.19488","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2403.19488","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.19488","pdf_url":"https://arxiv.org/pdf/2403.19488","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4393336095.pdf","grobid_xml":"https://content.openalex.org/works/W4393336095.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,12],"the":[3,32,53],"current":[4],"paper":[5],"is":[6],"to":[7],"introduce":[8],"a":[9,58],"new":[10],"class":[11],"contractive":[13],"mappings,":[14],"which":[15,52],"are":[16,28],"contracting":[17,26],"(a":[18],"feature":[19],"of)":[20],"triangles.":[21],"We":[22,39],"prove":[23],"that":[24,41],"maps":[25],"triangles":[27],"continuous":[29],"and":[30],"give":[31],"fixed":[33],"point":[34],"result":[35,54],"for":[36,51],"such":[37],"mappings.":[38],"emphasize":[40],"our":[42],"main":[43],"theorem":[44],"encompasses":[45],"many":[46],"functions,":[47],"with":[48],"significant":[49],"applicability,":[50],"holds,":[55],"thereby":[56],"representing":[57],"notable":[59],"advancement":[60],"in":[61],"this":[62],"research":[63],"domain.":[64]},"counts_by_year":[],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2025-10-10T00:00:00"}