{"id":"https://openalex.org/W4410304433","doi":"https://doi.org/10.3390/axioms14050361","title":"Convergence Analysis for System of Cayley Generalized Variational Inclusion on q-Uniformly Banach Space","display_name":"Convergence Analysis for System of Cayley Generalized Variational Inclusion on q-Uniformly Banach Space","publication_year":2025,"publication_date":"2025-05-12","ids":{"openalex":"https://openalex.org/W4410304433","doi":"https://doi.org/10.3390/axioms14050361"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14050361","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14050361","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/axioms14050361","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111719287","display_name":"M. A. Khan","orcid":null},"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":true,"raw_author_name":"Mohd Falahat Khan","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046307100","display_name":"Syed Shakaib Irfan","orcid":"https://orcid.org/0000-0002-4613-3269"},"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":"Syed Shakaib Irfan","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042301041","display_name":"Iqbal Ahmad","orcid":"https://orcid.org/0000-0002-8447-0709"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Iqbal Ahmad","raw_affiliation_strings":["Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111719287"],"corresponding_institution_ids":["https://openalex.org/I171210897"],"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":0.1279629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5","first_page":"361","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9962999820709229,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9961000084877014,"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/banach-space","display_name":"Banach space","score":0.8302329778671265},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6824873685836792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6821950674057007},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5420582890510559},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5140010714530945},{"id":"https://openalex.org/keywords/modes-of-convergence","display_name":"Modes of convergence (annotated index)","score":0.46383461356163025},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.4133807420730591},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4036683142185211},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14596465229988098},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14170902967453003},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.0694432258605957}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.8302329778671265},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6824873685836792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6821950674057007},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5420582890510559},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5140010714530945},{"id":"https://openalex.org/C48216909","wikidata":"https://www.wikidata.org/wiki/Q6889156","display_name":"Modes of convergence (annotated index)","level":5,"score":0.46383461356163025},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.4133807420730591},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4036683142185211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14596465229988098},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14170902967453003},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.0694432258605957},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C174265945","wikidata":"https://www.wikidata.org/wiki/Q1142889","display_name":"Isolated point","level":4,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14050361","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14050361","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:73aa3d101a854b2f8b93b00c6b8fee63","is_oa":true,"landing_page_url":"https://doaj.org/article/73aa3d101a854b2f8b93b00c6b8fee63","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 5, p 361 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14050361","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14050361","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1980446853","https://openalex.org/W2038497950","https://openalex.org/W2057634608","https://openalex.org/W2074214991","https://openalex.org/W2083090840","https://openalex.org/W2162289788","https://openalex.org/W2766894413","https://openalex.org/W2952555468","https://openalex.org/W3033969667","https://openalex.org/W3036508316","https://openalex.org/W3102243629","https://openalex.org/W4280632141","https://openalex.org/W4308438825","https://openalex.org/W4311640654","https://openalex.org/W4390571216","https://openalex.org/W4403513965","https://openalex.org/W4407748912","https://openalex.org/W6664887770","https://openalex.org/W6764694695","https://openalex.org/W6852349318"],"related_works":["https://openalex.org/W2081461665","https://openalex.org/W4312530773","https://openalex.org/W3034186883","https://openalex.org/W2042111348","https://openalex.org/W2373971468","https://openalex.org/W2778854810","https://openalex.org/W2008835484","https://openalex.org/W2898015585","https://openalex.org/W3027194385","https://openalex.org/W278222034"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"devoted":[3],"to":[4,52],"the":[5,21,32,49,54,59,65,69,77,80],"analysis":[6],"of":[7,10,23,61,68,79],"a":[8,24,86,91,95],"system":[9],"generalized":[11],"variational":[12],"inclusion":[13],"problems":[14],"involving":[15],"\u03b1-averaged":[16],"and":[17,42,63,94,101],"Cayley":[18],"operators":[19],"within":[20],"framework":[22],"q-uniformly":[25],"smooth":[26],"Banach":[27],"space.":[28],"We":[29],"demonstrate":[30],"that":[31],"problem":[33],"can":[34],"be":[35],"reformulated":[36],"as":[37],"an":[38,44],"equivalent":[39],"fixed-point":[40,50],"equation":[41],"propose":[43],"iterative":[45,82],"method":[46],"based":[47],"on":[48],"approach":[51],"obtain":[53],"solution.":[55],"Furthermore,":[56],"we":[57,84],"establish":[58],"existence":[60],"solutions":[62],"analyze":[64],"convergence":[66,96],"properties":[67],"proposed":[70,81],"algorithm":[71],"under":[72],"suitable":[73],"conditions.":[74],"To":[75],"validate":[76],"effectiveness":[78],"method,":[83],"provide":[85],"numerical":[87],"result":[88],"supported":[89],"by":[90],"computational":[92],"graph":[93],"plot,":[97],"illustrating":[98],"its":[99],"performance":[100],"efficiency.":[102]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-05-13T00:00:00"}
