In this chapter, we consider the problem of approximately solving the nonlinear ill-posed operator equation of the form F(x) = y, (9.1) where F : D(F) ⊂ X → X is a monotone operator and X is a real Hilbert space. We denote ...

The main task this chapter is to use the iterative methods to find solutions x of the equation F(x) = 0, (7.1) where D : D ⊂ X → Y is a Fréchet-differentiable operator X, Y are Banach spaces and D ⊂ X. Many problems from ...