ON AN APPLICATION OF A VARIANT OF THE CLOSED GRAPH THEOREM AND THE SECANT METHOD
Ioannis Konstantinos Argyros · Tamkang Journal of Mathematics · 1993
The method of nondiscrete mathematical induction is used to find error bounds for the Secant method. We assume only that the operator has Holder continuous derivatives. In the case the Frechet derivative of the operator satisfies a Lipschitz condition our results reduce to the ones obtained by F. Potra (Num. Math. 1982).