HOLDER CONTINUITY;
FRECHET DERIVATIVE;
NEWTON METHOD;
BANACH SPACE;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We apply the Secant method to solve nonlinear operator equations in a Banach space. We assume that the operator has Holder continuous derivatives. When the operator has a bounded second Frechet-derivative, our results reduce to the one's obtained by J.E. DENNIS, T.J. YPMA and others.