JournalszaaVol. 10, No. 3pp. 391–396

On an Application of a Modification of the Zincenko Method to the Approximation of Implicit Functions

  • Ioannis K. Argyros

    Cameron University, Lawton, USA
On an Application of a Modification of the Zincenko Method to the Approximation of Implicit Functions cover
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Abstract

We use the Zincenko iteration to approximate implicit functions in a Banach space by solving a linear algebraic system of finite order. The non-linear equations involved contain a non-differentiable term. Our hypotheses are more general than Zabrejko and Nguen's [10], in this case.

Cite this article

Ioannis K. Argyros, On an Application of a Modification of the Zincenko Method to the Approximation of Implicit Functions. Z. Anal. Anwend. 10 (1991), no. 3, pp. 391–396

DOI 10.4171/ZAA/460