Convergence domains of certain iterative methods for solving nonlinear equations

DOI Web Site 被引用文献1件

書誌事項

公開日
1989-01
DOI
  • 10.1080/01630568908816289
公開者
Informa UK Limited

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説明

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

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