Construction of Zeros of Accretive Mappings

Let E be a real uniformly smooth Banach space. Implicit iterative methods for the approximation of zeros of m-accretive mappings A: E 2 E are constructed and an application to the construction of an explicit iterative method is given. Our Banach space need not admit duality maps which are weakly sequentially continuous at zero. In particular our theorems apply to Lp spaces 1 p .