Strong Convergence Theorems for Solutions of Equations of Hammerstein Type

Abstract

We consider an auxiliary operator, defined in a real Hilbert space in terms of $K$ and $F$, that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results improve related results in the literature.