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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-10-issue-3.png&w=3840&q=90)
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