ITERATIVE SOLUTION OF NONLINEAR EQUATIONS OF HAMMERSTEIN TYPE
Habtu Zegeye · 2003
ABSTRACT. 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+KF u 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 independent interest.