{"id":"https://openalex.org/W2295169111","doi":"https://doi.org/10.1007/978-3-319-18161-5_29","title":"A Monotone Newton-Like Method for the Computation of Fixed Points","display_name":"A Monotone Newton-Like Method for the Computation of Fixed Points","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2295169111","doi":"https://doi.org/10.1007/978-3-319-18161-5_29","mag":"2295169111"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-18161-5_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-18161-5_29","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060469386","display_name":"Lotfi Mouhadjer","orcid":"https://orcid.org/0000-0002-0941-1522"},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["DZ","FR"],"is_corresponding":true,"raw_author_name":"Lotfi Mouhadjer","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, EPST de Tlemcen, BP 165, Bel Horizon Tlemcen, Alg\u00e9rie"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, EPST de Tlemcen, BP 165, Bel Horizon Tlemcen, Alg\u00e9rie","institution_ids":["https://openalex.org/I233209018","https://openalex.org/I3019441195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009655394","display_name":"Boubakeur Benahmed","orcid":"https://orcid.org/0000-0001-5112-6525"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Boubakeur Benahmed","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, ENP d\u2019Oran, El m\u2019naouer, Alg\u00e9rie","D\u00e9partement de Math\u00e9matiques et Informatique, ENP d'Oran, El m'naouer, Alg\u00e9rie"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, ENP d\u2019Oran, El m\u2019naouer, Alg\u00e9rie","institution_ids":["https://openalex.org/I3019441195"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, ENP d'Oran, El m'naouer, Alg\u00e9rie","institution_ids":["https://openalex.org/I3019441195"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060469386"],"corresponding_institution_ids":["https://openalex.org/I233209018","https://openalex.org/I3019441195"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15025907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"345","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9962000250816345,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9829000234603882,"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":0.9757000207901001,"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/monotone-polygon","display_name":"Monotone polygon","score":0.7674845457077026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7359955310821533},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7276347875595093},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.7063969373703003},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6642155647277832},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5454282760620117},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.534209132194519},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5196701288223267},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5087428689002991},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5029887557029724},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.46735242009162903},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.422006756067276},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4210205674171448},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37580692768096924},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32743072509765625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3093520998954773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1274542212486267},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08807197213172913},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.046971261501312256}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7674845457077026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7359955310821533},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7276347875595093},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.7063969373703003},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6642155647277832},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5454282760620117},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.534209132194519},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5196701288223267},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5087428689002991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5029887557029724},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.46735242009162903},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.422006756067276},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4210205674171448},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37580692768096924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32743072509765625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3093520998954773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1274542212486267},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08807197213172913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.046971261501312256},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-18161-5_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-18161-5_29","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W593050460","https://openalex.org/W1605250361","https://openalex.org/W2032225431","https://openalex.org/W2071791184","https://openalex.org/W2136404093","https://openalex.org/W4300424233"],"related_works":["https://openalex.org/W2361607624","https://openalex.org/W3196429779","https://openalex.org/W2562964647","https://openalex.org/W4311074794","https://openalex.org/W3154013474","https://openalex.org/W2049942793","https://openalex.org/W3000466668","https://openalex.org/W2183298476","https://openalex.org/W1979581525","https://openalex.org/W1998059688"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}