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Iteration processes for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces. (English) Zbl 0828.47042
Let \(T : L_p \to L_p\) \((1 < p \leq 2)\) be a strongly accretive (with constant \(k\)) and Lipschitz (with constant \(L\)) map, and let \(p(p - 1)\) \(L^2 < p - 2 (p - 1) (1-k)\). The author gives a (quite technical) definition of a sequence \((x_n)_n\) converging to the solution of \(Tx = f\), \(f \in L_p\).

MSC:
47H06 Nonlinear accretive operators, dissipative operators, etc.
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