Abstract:Let E be a reflexive smooth and strictly convex real Banach space. Let F : E → 2 E * and K : E * → E be bounded maximal monotone mappings such that D(F) = E and R(F) = D(K) = E * . Suppose that the Hammerstein inclusion 0 ∈ u + KFu has a solution in E. We present in this paper a new algorithm for approximating solutions of the inclusion 0 ∈ u + KFu. Then we prove strong convergence theorems. Our theorems improve and unify most of the results that have been proved in this direction for this important class of n… Show more
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