In this paper, we consider the iterationxn+l=xn”A(xn)1(f(xn)+g(xn))• n=0,l,2. for solving the equation f(x)+g(x)=0, where f and g are operators in Banach spaces, f is Frechet 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 9 such that starting from any point of Q the method converges to a solution of the equation.
ASJC Scopus subject areas
- Computer Science Applications
- Signal Processing
- Control and Optimization
- Applied Mathematics