Let H be a real Hilbert space. Let K, F : H → H be bounded, continuous and monotone mappings. Suppose that u∗ ∈ H is a solution to Hammerstein equation u + KFu = 0. We introduce a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the Hammerstein equation.

In this paper, it is our aim in paper to introduce a new iterative algorithmfor approximation of solution an equation Hammerstein-type. The proposed scheme does not involve computation inverse operators under study; passing through certain set that must contain the Hammerstein-type before convergence takes place. requires only one parameter satisfying verifiable mild conditions. Moreover, mappi...

The aim of the given paper is the development of an approach for parametric identification of Hammerstein systems with piecewise linear nonlinearities, i.e., when the saturation-like function with unknown slopes is followed by a linear part with unknown parameters. It is shown here that by a simple input data rearrangement and by a following data partition the problem of identification of a non...

Suppose X is a real Banach space and F,K : X → X are accretive maps. Under different continuity assumptions on F and K such that the inclusion 0 = u+KFu has a solution, iterative methods are constructed which converge strongly to such a solution. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X . Our method of proof is of independ...