An Algorithm for Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Classical Banach Spaces
Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 6 Oct 2016
10.9734/BJMCS/2016/28512Abstract
Let X = lp , 2 ≤ p < ∞. Let F : X → X* and K : X* → X be bounded maximal monotone mappings such that the Hammerstein equation u+KFu = 0 has a solution. An explicit iteration sequence is constructed and proved to converge strongly to a solution of this equation. Our method of proof is also of independent interest.
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