Let X be a real Banach space and X∗ be its dual. Let F: X → X∗ and K: X∗ → X be Lipschitz monotone mappings. In this paper an explicit iterative scheme is constructed for approximating solutions of the Hammerstein type equation, 0 = u + KF u, when they exist. Strong convergence of the scheme is obtained under appropriate conditions. Our results improve and unify many of the results in the literature.
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)