Abstract
We provide convergence theorems for a fast iterative method to solve nonlinear operator equations in a Banach space. The same method under stronger conditions was found to be of order four, under standard Newton-Kantorovich type assumptions. The monotone convergence of this method in a partially ordered topological space is also examined here.
Citation
Ioannis K. Argyros. "CONVERGENCE RESULTS FOR A FAST ITERATIVE METHOD IN LINEAR SPACES." Taiwanese J. Math. 3 (3) 323 - 338, 1999. https://doi.org/10.11650/twjm/1500407132
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