Iterative Approximation of Solutions of Nonlinear Equations of Hammerstein Type
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چکیده
Suppose X is a real q-uniformly smooth Banach space and F,K : X → X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u+KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X . Our method of proof is of independent interest.
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تاریخ انتشار 2003