CHEBYSHEV-KURCHATOV-TYPE METHODS FOR SOLVING EQUATIONS WITH NON-DIFFERENTIABLE OPERATORS

Ioannis K. Argyros, Santhosh George

Abstract


We introduce a new derivative free family of difference iterative methods for solving nonlinear equations with non-differentiable operators in a Banach space setting. This family is obtained as a combination of Chebyshev's and Kurchatov's method, and is shown to be faster than the corresponding one using the Chebyshev's or Kurchatov's methods. Numerical examples validate our semilocal convergence results.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)