Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption

[摘要] Let E be a real Banach space with a uniformly convex dual space E*. Suppose T: E --> E is a continuous (not necessarily Lipschitzian) strongly accretive map such that (I - T) has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges strongly to the unique solution of equation Tx = f, f is an element of E. Our results extend and complement the recent results obtained by Chidume. (C) 1997 Academic Press.

[发布日期] 1997-09-01