University of Botswana
Abstract: By using Banach's fixed point theorem and properties of strong derivatives of nonlinear mappings, we prove some convergence theorems and error estimations of a family of iterative methods of arbitrary order for determining the inverse elements in a unital Bananch algebra.
Keywords: Banach algebra, fixed point theorem, iteration, multiplicative inverse.
Classification (MSC2000): 47A05; 47H10, 65J10, 65J15, 65J22
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