{"id":"https://openalex.org/W2155624849","doi":"https://doi.org/10.1080/00207160500113546","title":"A new iterative method of asymptotic order 1+\u221a2 for the computation of fixed points","display_name":"A new iterative method of asymptotic order 1+\u221a2 for the computation of fixed points","publication_year":2005,"publication_date":"2005-11-01","ids":{"openalex":"https://openalex.org/W2155624849","doi":"https://doi.org/10.1080/00207160500113546","mag":"2155624849"},"language":"en","primary_location":{"id":"doi:10.1080/00207160500113546","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160500113546","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","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/A5087674067","display_name":"Ioannis K. Argyros","orcid":"https://orcid.org/0000-0002-9189-9298"},"institutions":[{"id":"https://openalex.org/I113618177","display_name":"Cameron University","ror":"https://ror.org/00rgv0036","country_code":"US","type":"education","lineage":["https://openalex.org/I113618177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ioannis K. Argyros","raw_affiliation_strings":["\n Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA","Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA"],"affiliations":[{"raw_affiliation_string":"\n Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA","institution_ids":["https://openalex.org/I113618177"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA","institution_ids":["https://openalex.org/I113618177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087674067"],"corresponding_institution_ids":["https://openalex.org/I113618177"],"apc_list":null,"apc_paid":null,"fwci":0.4241,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.66833891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"82","issue":"11","first_page":"1413","last_page":"1428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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":1.0,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944999814033508,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7483206987380981},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6671976447105408},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.65153568983078},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6241816878318787},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5913897752761841},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5727311372756958},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5238996744155884},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41281816363334656},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35923969745635986},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33061110973358154},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1995936930179596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18380782008171082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7483206987380981},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6671976447105408},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.65153568983078},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6241816878318787},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5913897752761841},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5727311372756958},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5238996744155884},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41281816363334656},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35923969745635986},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33061110973358154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1995936930179596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18380782008171082},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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:10.1080/00207160500113546","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160500113546","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W20141860","https://openalex.org/W571836983","https://openalex.org/W1969535785","https://openalex.org/W1972034149","https://openalex.org/W1977312765","https://openalex.org/W1977863769","https://openalex.org/W1994315745","https://openalex.org/W2003926286","https://openalex.org/W2008560605","https://openalex.org/W2015325974","https://openalex.org/W2029223910","https://openalex.org/W2060959271","https://openalex.org/W2065473770","https://openalex.org/W2078950386","https://openalex.org/W2085222329","https://openalex.org/W2114355749","https://openalex.org/W2342862913","https://openalex.org/W3038830718","https://openalex.org/W4238996018","https://openalex.org/W4239915530","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W172022518","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1984854975","https://openalex.org/W1972225038","https://openalex.org/W2363849453","https://openalex.org/W2361703941"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"introduce":[2],"a":[3,19,26],"new":[4],"iterative":[5],"method":[6,31],"of":[7,15,46],"asymptotic":[8],"order":[9,47],"1+\u221a2":[10],"for":[11],"approximating":[12],"fixed":[13],"points":[14],"non-linear":[16],"equations":[17],"in":[18,25,38],"Banach":[20,50],"space":[21],"as":[22,24],"well":[23],"partially":[27],"topological":[28],"space.":[29],"The":[30],"requires":[32],"less":[33],"computational":[34],"cost":[35],"than":[36],"others":[37],"the":[39],"literature":[40],"and":[41],"uses":[42],"only":[43],"divided":[44],"differences":[45,59],"1.":[48],"Keywords:":[49],"spacePOTL":[51],"spaceContraction":[52],"mapping":[53],"theoremLocal":[54],"ConvergenceSemilocal":[55],"ConvergenceMonotone":[56],"convergenceNewton-like":[57],"methodsDivided":[58]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
