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Approximation of solutions of Hammerstein equations with monotone mappings in real Banach spaces

Approximation of solutions of Hammerstein equations with monotone mappings in real Banach spaces

Let E be a uniformly convex and uniformly smooth real Banach space with dual space, E∗. Let F : E → E∗, K : E∗ → E be maximal monotone mappings. An iterative algorithm is constructed and the sequence of the algorithm is proved to converge strongly to a solution …