{"id":"https://openalex.org/W4416839843","doi":"https://doi.org/10.1155/jama/6663632","title":"Advanced Stability Analysis of Regularized Newton Methods for Monotone Inclusions With Bounded Variation","display_name":"Advanced Stability Analysis of Regularized Newton Methods for Monotone Inclusions With Bounded Variation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4416839843","doi":"https://doi.org/10.1155/jama/6663632"},"language":"en","primary_location":{"id":"doi:10.1155/jama/6663632","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/6663632","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/6663632","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/6663632","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067238109","display_name":"Boushra Abbas","orcid":"https://orcid.org/0009-0001-0161-3699"},"institutions":[{"id":"https://openalex.org/I108907416","display_name":"Latakia University","ror":"https://ror.org/04nqts970","country_code":"SY","type":"education","lineage":["https://openalex.org/I108907416"]}],"countries":["SY"],"is_corresponding":true,"raw_author_name":"Boushra Abbas","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Sciences ,  Latakia University ,  Latakia ,  Syria"],"raw_orcid":"https://orcid.org/0009-0001-0161-3699","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Sciences ,  Latakia University ,  Latakia ,  Syria","institution_ids":["https://openalex.org/I108907416"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067238109"],"corresponding_institution_ids":["https://openalex.org/I108907416"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18274366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2025","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.5479999780654907,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.5479999780654907,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.12860000133514404,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.09080000221729279,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.824400007724762},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6682000160217285},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6568999886512756},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6244999766349792},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.5174000263214111},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.49059998989105225},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47940000891685486},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4771000146865845},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.42579999566078186}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.824400007724762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7092000246047974},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6682000160217285},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6568999886512756},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6244999766349792},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5752000212669373},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.5174000263214111},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.49059998989105225},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47940000891685486},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4771000146865845},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.42579999566078186},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.4050000011920929},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.40209999680519104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40209999680519104},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.3725999891757965},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.36629998683929443},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3531999886035919},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3321000039577484},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3262999951839447},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.32519999146461487},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.30660000443458557},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2973000109195709},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.29350000619888306},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.25290000438690186},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/jama/6663632","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/6663632","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/6663632","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/jama/6663632","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/6663632","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/6663632","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416839843.pdf","grobid_xml":"https://content.openalex.org/works/W4416839843.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1946620893","https://openalex.org/W1967138577","https://openalex.org/W2099681657","https://openalex.org/W2132677982"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,33,40,52,60],"comprehensive":[4],"stability":[5,58,94],"analysis":[6],"of":[7,16],"regularized":[8],"Newton":[9],"methods":[10],"for":[11],"solving":[12],"monotone":[13,35],"inclusion":[14],"problems":[15],"the":[17,49,89],"form":[18],"0":[19],"\u2208":[20],"A":[21,31],"(":[22,27],"x":[23,28],")":[24],"+":[25],"F":[26,38],"),":[29],"where":[30],"is":[32,39],"maximal":[34],"operator":[36,43],"and":[37,67,109,118],"Lipschitz":[41],"continuous":[42],"with":[44],"bounded":[45,75],"variation.":[46],"By":[47],"modeling":[48],"problem":[50],"as":[51],"dynamical":[53],"system,":[54],"we":[55],"analyze":[56],"its":[57],"using":[59],"Lyapunov":[61],"function":[62],"approach,":[63],"establishing":[64],"existence,":[65],"uniqueness,":[66],"exponential":[68],"convergence":[69,80],"under":[70],"strong":[71],"monotonicity":[72],"conditions.":[73],"The":[74,99],"variation":[76],"property":[77],"enables":[78],"tighter":[79],"bounds":[81],"compared":[82],"to":[83,102],"traditional":[84],"methods.":[85],"Numerical":[86],"experiments":[87],"validate":[88],"theoretical":[90],"results,":[91],"demonstrating":[92],"robust":[93],"in":[95,104],"nonsmooth":[96],"optimization":[97],"contexts.":[98],"findings":[100],"extend":[101],"applications":[103],"machine":[105],"learning,":[106],"distributed":[107],"optimization,":[108],"dynamic":[110],"networks,":[111],"offering":[112],"insights":[113],"into":[114],"adaptive":[115],"regularization":[116],"strategies":[117],"practical":[119],"implementations.":[120]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-12-01T00:00:00"}