{"id":"https://openalex.org/W4407791196","doi":"https://doi.org/10.3390/axioms14030149","title":"Convergence Analysis for Cayley Variational Inclusion Problem Involving XOR and XNOR Operations","display_name":"Convergence Analysis for Cayley Variational Inclusion Problem Involving XOR and XNOR Operations","publication_year":2025,"publication_date":"2025-02-20","ids":{"openalex":"https://openalex.org/W4407791196","doi":"https://doi.org/10.3390/axioms14030149"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030149","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/axioms14030149","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101057143","display_name":"Arifuzzaman","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":"Arifuzzaman","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, Buraydah 52571, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah 52571, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101057143"],"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":3.3032,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.90792641,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"14","issue":"3","first_page":"149","last_page":"149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980999827384949,"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":0.9980999827384949,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9528999924659729,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9524000287055969,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7045366764068604},{"id":"https://openalex.org/keywords/xnor-gate","display_name":"XNOR gate","score":0.5809534788131714},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.5179094672203064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48813948035240173},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.4122641682624817},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40219950675964355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3866874575614929},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3451475501060486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3092009127140045},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2335260510444641},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22499129176139832},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08582741022109985},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07753616571426392},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.0701897144317627}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7045366764068604},{"id":"https://openalex.org/C57684291","wikidata":"https://www.wikidata.org/wiki/Q1336142","display_name":"XNOR gate","level":4,"score":0.5809534788131714},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.5179094672203064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48813948035240173},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.4122641682624817},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40219950675964355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3866874575614929},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3451475501060486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3092009127140045},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2335260510444641},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22499129176139832},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08582741022109985},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07753616571426392},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0701897144317627},{"id":"https://openalex.org/C124296912","wikidata":"https://www.wikidata.org/wiki/Q575178","display_name":"NAND gate","level":3,"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/C199289684","wikidata":"https://www.wikidata.org/wiki/Q83353","display_name":"Mineralogy","level":1,"score":0.0},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030149","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:d60e4fac013c427894b156f49470151a","is_oa":true,"landing_page_url":"https://doaj.org/article/d60e4fac013c427894b156f49470151a","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 3, p 149 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030149","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":11,"referenced_works":["https://openalex.org/W1968355496","https://openalex.org/W1973592207","https://openalex.org/W2038497950","https://openalex.org/W2083090840","https://openalex.org/W2478963760","https://openalex.org/W2507829082","https://openalex.org/W2924646227","https://openalex.org/W3030062569","https://openalex.org/W3038763174","https://openalex.org/W4291014922","https://openalex.org/W4400917519"],"related_works":["https://openalex.org/W2108719777","https://openalex.org/W2910771446","https://openalex.org/W2966758645","https://openalex.org/W2122693377","https://openalex.org/W2559054477","https://openalex.org/W4320854861","https://openalex.org/W2763203754","https://openalex.org/W3048955117","https://openalex.org/W2532170798","https://openalex.org/W2166656370"],"abstract_inverted_index":{"In":[0],"this":[1,59,67],"article,":[2],"we":[3,36],"introduce":[4],"and":[5,15,24,40,54,80],"study":[6,60],"a":[7,70],"generalized":[8,31],"Cayley":[9,32],"variational":[10],"inclusion":[11],"problem":[12,45],"incorporating":[13],"XOR":[14],"XNOR":[16],"operations.":[17],"We":[18],"establish":[19],"an":[20,47],"equivalent":[21],"fixed-point":[22],"formulation":[23],"demonstrate":[25],"the":[26,30,38,43,82],"Lipschitz":[27],"continuity":[28],"of":[29,42],"approximation":[33],"operator.":[34],"Furthermore,":[35],"analyze":[37],"existence":[39],"convergence":[41],"proposed":[44,83],"using":[46,85],"implicit":[48],"iterative":[49,52],"algorithm.":[50],"The":[51],"algorithm":[53,84],"numerical":[55,71],"results":[56],"presented":[57],"in":[58,66],"significantly":[61],"enhance":[62],"previously":[63],"known":[64],"findings":[65],"domain.":[68],"Finally,":[69],"result":[72,79],"is":[73],"provided":[74],"to":[75],"support":[76],"our":[77],"main":[78],"validate":[81],"MATLAB":[86],"programming.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
