{"id":"https://openalex.org/W2542032215","doi":"https://doi.org/10.1007/s10957-016-1031-x","title":"Semilocal Convergence Analysis of S-iteration Process of Newton\u2013Kantorovich Like in Banach Spaces","display_name":"Semilocal Convergence Analysis of S-iteration Process of Newton\u2013Kantorovich Like in Banach Spaces","publication_year":2016,"publication_date":"2016-10-27","ids":{"openalex":"https://openalex.org/W2542032215","doi":"https://doi.org/10.1007/s10957-016-1031-x","mag":"2542032215"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-016-1031-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-1031-x","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","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/A5046954272","display_name":"D. R. Sahu","orcid":"https://orcid.org/0000-0003-0994-4529"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Daya Ram Sahu","raw_affiliation_strings":["Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108677643","display_name":"Jen Chih Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA","TW"],"is_corresponding":true,"raw_author_name":"Jen Chih Yao","raw_affiliation_strings":["Center for General Education, China Medical University, Taichung, 40402, Taiwan","Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Center for General Education, China Medical University, Taichung, 40402, Taiwan","institution_ids":["https://openalex.org/I184693016"]},{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016683183","display_name":"Vipin Kumar Singh","orcid":"https://orcid.org/0000-0003-4537-1430"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vipin Kumar Singh","raw_affiliation_strings":["Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100757757","display_name":"Satyendra Kumar","orcid":"https://orcid.org/0000-0001-8983-9264"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Satyendra Kumar","raw_affiliation_strings":["Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108677643"],"corresponding_institution_ids":["https://openalex.org/I184693016","https://openalex.org/I185163786"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.3476,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87928586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"172","issue":"1","first_page":"102","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8421613574028015},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.833232045173645},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5940067768096924},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5251581072807312},{"id":"https://openalex.org/keywords/modes-of-convergence","display_name":"Modes of convergence (annotated index)","score":0.46017327904701233},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4582499861717224},{"id":"https://openalex.org/keywords/c0-semigroup","display_name":"C0-semigroup","score":0.45598888397216797},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4302719533443451},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.42546209692955017},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4246100187301636},{"id":"https://openalex.org/keywords/fr\u00e9chet-derivative","display_name":"Fr\u00e9chet derivative","score":0.41614723205566406},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.41544508934020996},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3526778221130371},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2809751629829407},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24309015274047852},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08954629302024841}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8421613574028015},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.833232045173645},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5940067768096924},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5251581072807312},{"id":"https://openalex.org/C48216909","wikidata":"https://www.wikidata.org/wiki/Q6889156","display_name":"Modes of convergence (annotated index)","level":5,"score":0.46017327904701233},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4582499861717224},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.45598888397216797},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4302719533443451},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.42546209692955017},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4246100187301636},{"id":"https://openalex.org/C118335899","wikidata":"https://www.wikidata.org/wiki/Q1305350","display_name":"Fr\u00e9chet derivative","level":3,"score":0.41614723205566406},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.41544508934020996},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3526778221130371},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2809751629829407},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24309015274047852},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08954629302024841},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C174265945","wikidata":"https://www.wikidata.org/wiki/Q1142889","display_name":"Isolated point","level":4,"score":0.0},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-016-1031-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-1031-x","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:172:y:2017:i:1:d:10.1007_s10957-016-1031-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-016-1031-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W112023339","https://openalex.org/W587075566","https://openalex.org/W1528063838","https://openalex.org/W1571614612","https://openalex.org/W1968750636","https://openalex.org/W1976487400","https://openalex.org/W1979488710","https://openalex.org/W1994315745","https://openalex.org/W1996428104","https://openalex.org/W2003843909","https://openalex.org/W2014383712","https://openalex.org/W2018127100","https://openalex.org/W2022703159","https://openalex.org/W2023358569","https://openalex.org/W2026215536","https://openalex.org/W2042404024","https://openalex.org/W2046270338","https://openalex.org/W2047828698","https://openalex.org/W2050082135","https://openalex.org/W2069435104","https://openalex.org/W2081284028","https://openalex.org/W2088929966","https://openalex.org/W2090697352","https://openalex.org/W2090963365","https://openalex.org/W2090977323","https://openalex.org/W2094760120","https://openalex.org/W2097085160","https://openalex.org/W2104390620","https://openalex.org/W2137248365","https://openalex.org/W2332487038","https://openalex.org/W4242979561","https://openalex.org/W4299512035","https://openalex.org/W6610763331"],"related_works":["https://openalex.org/W2097803028","https://openalex.org/W2778854810","https://openalex.org/W2604264967","https://openalex.org/W2276545079","https://openalex.org/W250807311","https://openalex.org/W2091942875","https://openalex.org/W2899230515","https://openalex.org/W2564862838","https://openalex.org/W2915885076","https://openalex.org/W2542032215"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
