{"id":"https://openalex.org/W4312924755","doi":"https://doi.org/10.3934/mfc.2022043","title":"Generalized Cayley operator with applications to Cayley inclusions in uniformly smooth Banach spaces","display_name":"Generalized Cayley operator with applications to Cayley inclusions in uniformly smooth Banach spaces","publication_year":2022,"publication_date":"2022-10-27","ids":{"openalex":"https://openalex.org/W4312924755","doi":"https://doi.org/10.3934/mfc.2022043"},"language":"en","primary_location":{"id":"doi:10.3934/mfc.2022043","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2022043","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6359d86e6aa93c57bccf0130","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/data/article/export-pdf?id=6359d86e6aa93c57bccf0130","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007213215","display_name":"Tirth Ram","orcid":"https://orcid.org/0000-0002-6447-6767"},"institutions":[{"id":"https://openalex.org/I145846420","display_name":"University of Jammu","ror":"https://ror.org/02retg991","country_code":"IN","type":"education","lineage":["https://openalex.org/I145846420"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tirth Ram","raw_affiliation_strings":["Department of Mathematics, University of Jammu, Jammu 180006, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Jammu, Jammu 180006, India","institution_ids":["https://openalex.org/I145846420"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048308391","display_name":"Mohd Iqbal","orcid":"https://orcid.org/0000-0002-3269-9333"},"institutions":[{"id":"https://openalex.org/I145846420","display_name":"University of Jammu","ror":"https://ror.org/02retg991","country_code":"IN","type":"education","lineage":["https://openalex.org/I145846420"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohd Iqbal","raw_affiliation_strings":["Department of Mathematics, University of Jammu, Jammu 180006, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Jammu, Jammu 180006, India","institution_ids":["https://openalex.org/I145846420"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145846420"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20044457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"1","first_page":"20","last_page":"37"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9973999857902527,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.996999979019165,"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/resolvent","display_name":"Resolvent","score":0.6195566654205322},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5839303731918335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5709124207496643},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5566022396087646},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5376215577125549},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5257528424263},{"id":"https://openalex.org/keywords/cayley-transform","display_name":"Cayley transform","score":0.5117413997650146},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5101013779640198},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.44730091094970703},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.4140982925891876},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38986432552337646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33750373125076294},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33011573553085327},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3068196773529053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2609003782272339},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21921998262405396}],"concepts":[{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.6195566654205322},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5839303731918335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5709124207496643},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5566022396087646},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5376215577125549},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5257528424263},{"id":"https://openalex.org/C18586221","wikidata":"https://www.wikidata.org/wiki/Q2778065","display_name":"Cayley transform","level":5,"score":0.5117413997650146},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5101013779640198},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44730091094970703},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.4140982925891876},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38986432552337646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33750373125076294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33011573553085327},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3068196773529053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2609003782272339},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21921998262405396},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/mfc.2022043","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2022043","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6359d86e6aa93c57bccf0130","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/mfc.2022043","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2022043","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6359d86e6aa93c57bccf0130","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312924755.pdf","grobid_xml":"https://content.openalex.org/works/W4312924755.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1602972690","https://openalex.org/W1963571619","https://openalex.org/W1982471234","https://openalex.org/W2003167208","https://openalex.org/W2005022465","https://openalex.org/W2054966831","https://openalex.org/W2057634608","https://openalex.org/W2058307164","https://openalex.org/W2070798173","https://openalex.org/W2072985063","https://openalex.org/W2074145342","https://openalex.org/W2083090840","https://openalex.org/W2162289788","https://openalex.org/W2167155142","https://openalex.org/W2523435073","https://openalex.org/W2598977400","https://openalex.org/W2794714274","https://openalex.org/W2809303965","https://openalex.org/W2952555468","https://openalex.org/W3036508316","https://openalex.org/W3175428840","https://openalex.org/W4291014922"],"related_works":["https://openalex.org/W2963188491","https://openalex.org/W3139700519","https://openalex.org/W4298173932","https://openalex.org/W2009927663","https://openalex.org/W2348558285","https://openalex.org/W1983083559","https://openalex.org/W2320114089","https://openalex.org/W4205105712","https://openalex.org/W2062149870","https://openalex.org/W2373753635"],"abstract_inverted_index":{"In":[0],"this":[1,30],"paper,":[2],"we":[3,90],"present":[4],"a":[5,10,92],"generalized":[6,11,60],"Cayley":[7,12],"operator":[8],"and":[9,28,40,59,67,72,95],"inclusion":[13],"problem":[14,63],"$":[15,23,25,46,56,58,64,83],"(GCIP)":[16,24,47,57],"$.":[17,48,85],"A":[18],"fixed":[19],"point":[20],"formulation":[21],"of":[22,42,45,54,74,82],"is":[26,34],"established":[27],"using":[29,98],"an":[31,69],"iterative":[32,70],"algorithm":[33,71],"developed":[35],"to":[36,78],"show":[37],"the":[38,43,52,55,80],"existence":[39],"convergence":[41,96],"solutions":[44],"We":[49],"also":[50],"establish":[51],"equivalence":[53],"resolvent":[61],"equation":[62],"(GREP)":[65,84],"$,":[66],"develop":[68],"some":[73],"its":[75],"equivalent":[76],"forms":[77],"approximate":[79],"solution":[81],"To":[86],"support":[87],"our":[88],"results,":[89],"construct":[91],"numerical":[93],"example":[94],"graphs":[97],"MATLAB":[99],"programming.":[100]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
