{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T09:50:38Z","timestamp":1721037038465},"reference-count":11,"publisher":"Vilnius Gediminas Technical University","issue":"2","content-domain":{"domain":["journals.vgtu.lt"],"crossmark-restriction":true},"short-container-title":[],"abstract":"<jats:p>We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods. The convergence ball and error estimates are given for these methods. Numerical examples are also provided in this study.<\/jats:p>","DOI":"10.3846\/13926292.2017.1291455","type":"journal-article","created":{"date-parts":[[2017,3,18]],"date-time":"2017-03-18T13:28:59Z","timestamp":1489843739000},"page":"228-236","update-policy":"http:\/\/dx.doi.org\/10.3846\/mma_policy","source":"Crossref","is-referenced-by-count":1,"title":["LOCAL CONVERGENCE OF JARRATT-TYPE METHODS WITH LESS COMPUTATION OF INVERSION UNDER WEAK CONDITIONS"],"prefix":"10.3846","volume":"22","author":[{"given":"Ioannis K.","family":"Argyros","sequence":"first","affiliation":[{"name":"Cameron University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Santhosh","family":"George","sequence":"additional","affiliation":[{"name":"National Institute of Technology Karnataka"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2209","published-online":{"date-parts":[[2017,3,18]]},"reference":[{"key":"CIT0001","volume-title":"Computational theory of iterative methods, volume 15 of Studies in Computational Mathematics","author":"Argyros I.K.","year":"2007"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(94)90093-0"},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.1142\/8475"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02241866"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02238803"},{"key":"CIT0006","first-page":"29","volume":"1","author":"Her\u0144andez M.A.","year":"1999","journal-title":"Southwest Journal of Pure and Applied Mathematics [electronic only]"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-66-99924-8"},{"key":"CIT0008","volume-title":"An adaptive continuation process for solving systems of nonlinear equations","volume":"3","author":"Rheinboldt W.","year":"1978"},{"key":"CIT0009","volume-title":"Iterative methods for the solution of equations","author":"Traub J.F.","year":"1982"},{"key":"CIT0010","author":"Wang X.","year":"2017","journal-title":"Appl. Math. Comput."},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-010-9438-1"}],"container-title":["Mathematical Modelling and Analysis"],"original-title":[],"link":[{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/892\/672","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T13:15:18Z","timestamp":1650633318000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/892"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,18]]},"references-count":11,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,3,18]]}},"URL":"https:\/\/doi.org\/10.3846\/13926292.2017.1291455","relation":{},"ISSN":["1392-6292","1648-3510"],"issn-type":[{"value":"1392-6292","type":"print"},{"value":"1648-3510","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3,18]]},"assertion":[{"value":"Vilnius Gediminas Technical University","name":"this_article_is_maintained_by","label":"This article is maintained by"},{"value":"Research Article","name":"content_type","label":"Content Type"},{"value":"Yes","name":"crosschecked","label":"CrossChecked"},{"value":"Yes","order":0,"name":"peer_reviewed","label":"Peer Reviewed","group":{"name":"peer_review","label":"Peer Review"}},{"value":"Double blind","order":1,"name":"review_process","label":"Review Process","group":{"name":"peer_review","label":"Peer Review"}},{"value":"2016-09-23","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-01-30","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-03-18","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}},{"value":"@ 2017 Vilnius Gediminas Technical University Press","order":0,"name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}