{"id":"https://openalex.org/W4389976845","doi":"https://doi.org/10.37256/cm.4420232755","title":"On an Efficient Iterative Method for Fixed Points","display_name":"On an Efficient Iterative Method for Fixed Points","publication_year":2023,"publication_date":"2023-12-19","ids":{"openalex":"https://openalex.org/W4389976845","doi":"https://doi.org/10.37256/cm.4420232755"},"language":"en","primary_location":{"id":"doi:10.37256/cm.4420232755","doi":"https://doi.org/10.37256/cm.4420232755","is_oa":true,"landing_page_url":"https://doi.org/10.37256/cm.4420232755","pdf_url":"https://ojs.wiserpub.com/index.php/CM/article/download/2755/1810/35254","source":{"id":"https://openalex.org/S4210223742","display_name":"Contemporary Mathematics","issn_l":"2705-1056","issn":["2705-1056","2705-1064"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Contemporary Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ojs.wiserpub.com/index.php/CM/article/download/2755/1810/35254","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mukund Mohan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3130357712","display_name":"Lalit Narayan Mithila University","ror":"https://ror.org/00pqvmk25","country_code":"IN","type":"education","lineage":["https://openalex.org/I3130357712"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mukund Mohan","raw_affiliation_strings":["Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, Bihar, 846004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, Bihar, 846004, India","institution_ids":["https://openalex.org/I3130357712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101866723","display_name":"Abhimanyu Kumar","orcid":"https://orcid.org/0000-0002-6292-6592","observed_orcids":["https://orcid.org/0000-0002-6292-6592"]},"institutions":[{"id":"https://openalex.org/I3130357712","display_name":"Lalit Narayan Mithila University","ror":"https://ror.org/00pqvmk25","country_code":"IN","type":"education","lineage":["https://openalex.org/I3130357712"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhimanyu Kumar","raw_affiliation_strings":["Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, Bihar, 846004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, Bihar, 846004, India","institution_ids":["https://openalex.org/I3130357712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000290037","display_name":"S. N. Roy","orcid":"https://orcid.org/0000-0002-8294-3947","observed_orcids":["https://orcid.org/0000-0002-8294-3947"]},"institutions":[{"id":"https://openalex.org/I3130357712","display_name":"Lalit Narayan Mithila University","ror":"https://ror.org/00pqvmk25","country_code":"IN","type":"education","lineage":["https://openalex.org/I3130357712"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. N. Roy","raw_affiliation_strings":["Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, Bihar, 846004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, Bihar, 846004, India","institution_ids":["https://openalex.org/I3130357712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035582326","display_name":"Pradip Kumar Parida","orcid":"https://orcid.org/0000-0002-8658-7134","observed_orcids":["https://orcid.org/0000-0002-8658-7134"]},"institutions":[{"id":"https://openalex.org/I175970653","display_name":"Central University of Jharkhand","ror":"https://ror.org/04y763m95","country_code":"IN","type":"education","lineage":["https://openalex.org/I175970653"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. K. Parida","raw_affiliation_strings":["Department of Mathematics, Central University of Jharkhand, Ranchi-835205, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Jharkhand, Ranchi-835205, India","institution_ids":["https://openalex.org/I175970653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1260","last_page":"1278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9887999892234802,"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":0.9887999892234802,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.006099999882280827,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.0010000000474974513,"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/fixed-point-problems","display_name":"fixed point problems","score":0.671999990940094},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.9909999966621399},{"id":"https://openalex.org/keywords/order-of-convergence","display_name":"convergence order","score":0.7979999780654907},{"id":"https://openalex.org/keywords/radius-of-convergence","display_name":"radius of convergence","score":0.9210000038146973},{"id":"https://openalex.org/keywords/taylor-expansion","display_name":"Taylor series expansion","score":0.578000009059906},{"id":"https://openalex.org/keywords/nonlinear-equations","display_name":"nonlinear equations","score":0.7200000286102295}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8446676731109619},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7308181524276733},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7214496731758118},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6375926733016968},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5574926733970642},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5508482456207275},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5214680433273315},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4916010797023773},{"id":"https://openalex.org/C538505008","wikidata":"https://www.wikidata.org/wiki/Q3979448","display_name":"Convergence tests","level":4,"score":0.4783291816711426},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.4766010642051697},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.4614402651786804},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.45364901423454285},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43071314692497253},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4297920763492584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3624509572982788},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2675449550151825},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2527311444282532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09594568610191345},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07972490787506104},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37256/cm.4420232755","doi":"https://doi.org/10.37256/cm.4420232755","is_oa":true,"landing_page_url":"https://doi.org/10.37256/cm.4420232755","pdf_url":"https://ojs.wiserpub.com/index.php/CM/article/download/2755/1810/35254","source":{"id":"https://openalex.org/S4210223742","display_name":"Contemporary Mathematics","issn_l":"2705-1056","issn":["2705-1056","2705-1064"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Contemporary Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37256/cm.4420232755","doi":"https://doi.org/10.37256/cm.4420232755","is_oa":true,"landing_page_url":"https://doi.org/10.37256/cm.4420232755","pdf_url":"https://ojs.wiserpub.com/index.php/CM/article/download/2755/1810/35254","source":{"id":"https://openalex.org/S4210223742","display_name":"Contemporary Mathematics","issn_l":"2705-1056","issn":["2705-1056","2705-1064"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Contemporary Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389976845.pdf","grobid_xml":"https://content.openalex.org/works/W4389976845.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W310085760","https://openalex.org/W1975400766","https://openalex.org/W2002922765","https://openalex.org/W2007780595","https://openalex.org/W2013248277","https://openalex.org/W2027860045","https://openalex.org/W2089680530","https://openalex.org/W2091115371","https://openalex.org/W2097976433","https://openalex.org/W2326915604","https://openalex.org/W2574297632","https://openalex.org/W2746597285","https://openalex.org/W2770483805","https://openalex.org/W2799877048","https://openalex.org/W2895579945","https://openalex.org/W2904305418","https://openalex.org/W2936047608","https://openalex.org/W2963883129","https://openalex.org/W2997905542","https://openalex.org/W3009760317","https://openalex.org/W3016869440","https://openalex.org/W3040832992","https://openalex.org/W3171779055","https://openalex.org/W3187230297","https://openalex.org/W4205935434","https://openalex.org/W4213288604","https://openalex.org/W4220773749","https://openalex.org/W4321495411","https://openalex.org/W4322764316"],"related_works":["https://openalex.org/W2033734914","https://openalex.org/W2895579945","https://openalex.org/W2130104381","https://openalex.org/W2019912625","https://openalex.org/W7000630174","https://openalex.org/W2050990400","https://openalex.org/W2797799273","https://openalex.org/W4391465980","https://openalex.org/W2385822687","https://openalex.org/W3034186883"],"abstract_inverted_index":{"Real-world":[0],"applications":[1],"depend":[2],"heavily":[3],"on":[4,104],"the":[5,25,63,89,101,121,128],"fixed-point":[6],"solution.":[7],"In":[8,82],"this":[9,31,42,80,131],"paper,":[10],"we":[11,54,97,124],"have":[12,22,71,98],"suggested":[13],"an":[14,85],"effective":[15],"iterative":[16],"method":[17,32,43,93],"for":[18,30,41,94],"fixed":[19],"points.":[20],"We":[21,70],"first":[23],"given":[24],"approximate":[26],"order":[27],"of":[28,38,92,111,130],"convergence":[29,39,51,59,102],"using":[33,48,88],"Taylor\u2019s":[34],"series.":[35],"The":[36,57],"radii":[37],"balls":[40],"can":[44],"then":[45,55,68],"be":[46],"calculated":[47],"a":[49],"local":[50],"theorem":[52],"that":[53],"present.":[56],"semilocal":[58],"theorem,":[60],"which":[61],"determines":[62],"starting":[64],"point\u2019s":[65],"accuracy,":[66],"is":[67],"presented.":[69],"created":[72],"some":[73,114],"technical":[74],"lemmas":[75],"and":[76],"theorems":[77],"to":[78,84,119],"serve":[79],"purpose.":[81],"contrast":[83],"earlier":[86],"study":[87,110],"same":[90],"type":[91],"nonlinear":[95],"equations,":[96],"not":[99],"used":[100],"conditions":[103],"higher-order":[105],"Frechet":[106],"derivatives":[107],"in":[108],"our":[109],"convergence.":[112],"Finally,":[113],"numerical":[115],"examples":[116],"are":[117],"provided":[118],"support":[120],"theoretical":[122],"findings":[123],"made.":[125],"This":[126],"highlights":[127],"uniqueness":[129],"study.":[132]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2023-12-20T00:00:00"}