The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (707 KB) | Metadata | Table of Contents | ZAA summary
Volume 10, Issue 3, 1991, pp. 391–396
DOI: 10.4171/ZAA/460

Published online: 1991-09-30

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

Ioannis K. Argyros[1]

(1) Cameron University, Lawton, USA

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.

Keywords: Implicit function, Banach space

Argyros Ioannis: On an Application of a Modification of the Zincenko Method to the Approximation of Implicit Functions. Z. Anal. Anwend. 10 (1991), 391-396. doi: 10.4171/ZAA/460