Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces (Q1310840)

Let \(X\) be a \(p\)-uniformly smooth Banach space, \(1\leq p\leq 2\), and \(T: X\to X\) be a Lipschitzian strongly accretive map. The authors show that the Mann and the Ishikawa iteration processes converge strongly to the unique solution of the equation \(Tx= f\). The same conclusions are also valid if \(C\subset X\) is a bounded, closed subset and \(T: C\to C\) is Lipschitzian and pseudo-contractive.