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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 31, No. 2, pp. 285-295 (2015)
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Iterative algorithms for determining multiplicative inverses in Banach algebras

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Chiapo R. Sam

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

**Full text of the article:**

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FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition
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