论文信息 - Convergence domains of certain iterative methods for solving nonlinear equations

Convergence domains of certain iterative methods for solving nonlinear equations

In this paper, we consider the iteration for solving the equation where f and g are operators in Banach spaces, f is Fechet differentiable, and A(x) is an approximation for f'(x), while the differentiability of g is not assumed. Under Zabrejko-Nguen type hypotheses, we determine a domain Ω such that starting from any point of Ω the method converges to a solution of the equation

Xiaojun Chen | Tetsuro Yamamoto

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