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A special case of weak conditions is also considered.<\/jats:p>","DOI":"10.3390\/computation8010008","type":"journal-article","created":{"date-parts":[[2020,1,27]],"date-time":"2020-01-27T07:41:11Z","timestamp":1580110871000},"page":"8","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Improving Convergence Analysis of the Newton\u2013Kurchatov Method under Weak Conditions"],"prefix":"10.3390","volume":"8","author":[{"given":"Ioannis K.","family":"Argyros","sequence":"first","affiliation":[{"name":"Department of Mathematics, Cameron University, Lawton, OK 73505, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3845-6260","authenticated-orcid":false,"given":"Stepan","family":"Shakhno","sequence":"additional","affiliation":[{"name":"Faculty of Applied Mathematics and Informatics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Halyna","family":"Yarmola","sequence":"additional","affiliation":[{"name":"Faculty of Applied Mathematics and Informatics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,26]]},"reference":[{"key":"ref_1","unstructured":"Argyros, I.K., and Magren\u00e1n, \u00c1.A. 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Extended Local Convergence for the Combined Newton\u2013Kurchatov Method Under the Generalized Lipschitz Conditions. Mathematics, 7.","DOI":"10.3390\/math7020207"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1002\/pamm.201610348","article-title":"Combined Newton-Kurchatov method for solving nonlinear operator equations","volume":"16","author":"Iakymchuk","year":"2016","journal-title":"PAMM"},{"key":"ref_15","first-page":"78","article-title":"Combined Newton\u2013Kurchatov method under the generalized Lipschitz conditions for the derivatives and divided differences","volume":"2","author":"Shakhno","year":"2015","journal-title":"J. Comput. Appl. Math."},{"key":"ref_16","first-page":"213","article-title":"Two-point method for solving nonlinear equation with nondifferentiable operator","volume":"36","author":"Shakhno","year":"2009","journal-title":"Mat. 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