A unifying semilocal convergence theorem for Newton-like methods based on center Lipschitz conditions

作者：Argyros Ioannis K^*

来源：Computational and Applied Mathematics, 2002, 21(3): 789-796.

• Banach space
• Newton-like methods
• Mysovskii hypothesis
• center Lipschitz operator

In the Newton-Kantorovich theorem it is assumed that the derivative of the operator involved satisfies a Lipschitz condition. Here we assume that only a center Lipschitz condition is satisfied for a wider class of Newton methods. A semilocal convergence theorem is proved.

• 出版日期2002