An inverse-free Jarratt type approximation in a Banach space |
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| Authors: | I. K. Argyros Dong Chen Q. Qian |
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| Affiliation: | (1) Department of Mathematics, Cameron University, 73505 Lawton, Oklahoma, USA;(2) Department of Mathematics, University of Kentucky, 40506 Lexington, Kentucky, USA;(3) Department of Mathematical Sciences, University of Arkansas, 72701 Fayetteville, Arkansas, USA |
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| Abstract: | In this study, we introduce a new iterative method for solving nonlinear operator equations in Banach spaces. We establish a sufficient as well as a local convergence theorem. We also provide the best possible practical error bound for this method. |
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