{"id":"https://openalex.org/W4411669477","doi":"https://doi.org/10.3390/axioms14070494","title":"Stability and Hyperstability of Ternary Hom-Multiplier on Ternary Banach Algebra","display_name":"Stability and Hyperstability of Ternary Hom-Multiplier on Ternary Banach Algebra","publication_year":2025,"publication_date":"2025-06-25","ids":{"openalex":"https://openalex.org/W4411669477","doi":"https://doi.org/10.3390/axioms14070494"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14070494","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070494","pdf_url":null,"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://doi.org/10.3390/axioms14070494","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000227112","display_name":"Vahid Keshavarz","orcid":"https://orcid.org/0000-0002-3761-3535"},"institutions":[{"id":"https://openalex.org/I3121641575","display_name":"Yasouj University","ror":"https://ror.org/05sy5hm57","country_code":"IR","type":"education","lineage":["https://openalex.org/I3121641575"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Vahid Keshavarz","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75918, Iran"],"raw_orcid":"https://orcid.org/0000-0002-3761-3535","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75918, Iran","institution_ids":["https://openalex.org/I3121641575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108029807","display_name":"Mohammad Taghi Heydari","orcid":"https://orcid.org/0000-0001-6949-4334"},"institutions":[{"id":"https://openalex.org/I3121641575","display_name":"Yasouj University","ror":"https://ror.org/05sy5hm57","country_code":"IR","type":"education","lineage":["https://openalex.org/I3121641575"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Taghi Heydari","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75918, Iran"],"raw_orcid":"https://orcid.org/0000-0001-6949-4334","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75918, Iran","institution_ids":["https://openalex.org/I3121641575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021361965","display_name":"Douglas R. Anderson","orcid":"https://orcid.org/0000-0002-3069-2816"},"institutions":[{"id":"https://openalex.org/I114526571","display_name":"Concordia College - Minnesota","ror":"https://ror.org/00ppb2x90","country_code":"US","type":"education","lineage":["https://openalex.org/I114526571"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Douglas R. Anderson","raw_affiliation_strings":["Department of Mathematics, Concordia College, Moorhead, MN 56562, USA"],"raw_orcid":"https://orcid.org/0000-0002-3069-2816","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Concordia College, Moorhead, MN 56562, USA","institution_ids":["https://openalex.org/I114526571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021361965"],"corresponding_institution_ids":["https://openalex.org/I114526571"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21144576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"7","first_page":"494","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9998000264167786,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/ternary-operation","display_name":"Ternary operation","score":0.7877969741821289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7226611971855164},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4301450252532959},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4122946858406067},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3411358594894409},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16522446274757385},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.04655405879020691}],"concepts":[{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.7877969741821289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7226611971855164},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4301450252532959},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4122946858406067},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3411358594894409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16522446274757385},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.04655405879020691},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14070494","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070494","pdf_url":null,"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:0e142994288e4512a60c74adaaae8cce","is_oa":true,"landing_page_url":"https://doaj.org/article/0e142994288e4512a60c74adaaae8cce","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 14, Iss 7, p 494 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14070494","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070494","pdf_url":null,"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1510886636","https://openalex.org/W1941708265","https://openalex.org/W1974688961","https://openalex.org/W1987702649","https://openalex.org/W1995595495","https://openalex.org/W2003874621","https://openalex.org/W2041951818","https://openalex.org/W2073676572","https://openalex.org/W2088575900","https://openalex.org/W2092866341","https://openalex.org/W2096121826","https://openalex.org/W2115295522","https://openalex.org/W2156332739","https://openalex.org/W2486423987","https://openalex.org/W2508267673","https://openalex.org/W2803366560","https://openalex.org/W2899027751","https://openalex.org/W3047531159","https://openalex.org/W3083241480","https://openalex.org/W3101361104","https://openalex.org/W3112128763","https://openalex.org/W3148149592","https://openalex.org/W4225388167","https://openalex.org/W4285251256","https://openalex.org/W4306180874","https://openalex.org/W4312218784","https://openalex.org/W4390574157","https://openalex.org/W6674665384","https://openalex.org/W6683165740","https://openalex.org/W6787361694"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,11],"investigate":[4],"the":[5,13,21,36,61,67,85],"3D":[6,37,68],"additive-type":[7,38,69],"functional":[8,39,70],"equation.":[9],"Next,":[10],"introduce":[12],"ternary":[14,17,24,27,72,75,79],"hom-multiplier":[15,77],"in":[16],"Banach":[18,80],"algebras":[19],"using":[20,88],"concepts":[22],"of":[23,56,66],"homomorphisms":[25],"and":[26,63,74,94],"multipliers.":[28],"We":[29,44],"first":[30],"establish":[31],"proof":[32],"that":[33,47],"solutions":[34,49],"to":[35],"equation":[40],"are":[41,50],"additive":[42],"mappings.":[43,52],"further":[45],"demonstrate":[46],"these":[48],"C-linear":[51],"The":[53],"final":[54],"portion":[55],"our":[57],"work":[58],"examines":[59],"both":[60],"stability":[62],"hyperstability":[64],"properties":[65],"equation,":[71],"hom-multiplier,":[73],"Jordan":[76],"on":[78],"algebras.":[81],"Our":[82],"analysis":[83],"employs":[84],"fixed-point":[86],"theorem":[87],"control":[89],"functions":[90],"developed":[91],"by":[92],"G\u01cevruta":[93],"Rassias.":[95]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
