Algorithm for Hammerstein equations with monotone mappings in certain Banach spaces.

For q>1q>1 and p>1, let E be a 2-uniformly convex and q-uniformly smooth or p- uniformly convex and 2-uniformly smooth real Banach space and F:E→E*, K:E* → E be bounded and strongly monotone maps with D(K)=R(F)=E*. We construct a coupled iterative process and prove its strong convergence to a solution of the Hammerstein equation u+KFu=0. Futhermore, our technique of proof is of independent of interest. [ABSTRACT FROM AUTHOR]