Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1991-09-30
On an Application of a Modification of the Zincenko Method to the Approximation of Implicit FunctionsIoannis K. Argyros (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 , 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