Su, Yongfu; Qin, Xiaolong Strong convergence for accretive operators in Banach spaces. (English) Zbl 1164.47376 Novi Sad J. Math. 36, No. 2, 43-55 (2006). Let \(E\) be either a uniformly smooth Banach space or a reflexive Banach space which has a weakly continuous duality map and let \(A\) be an \(m\)-accretive operator in \(E\) with \(A(0)\neq\emptyset\). Improving and extending several recent results in the literature, the authors define a composite process \(\{x_n\}_{n=1}^\infty\) and give conditions for the strong convergence of \(\{x_n\}_{n=1}^\infty\) to a zero point of \(A\). Reviewer: Ljubiša Kočinac (Niš) MSC: 47J25 Iterative procedures involving nonlinear operators 47H06 Nonlinear accretive operators, dissipative operators, etc. 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) Keywords:uniformly smooth Banach space; reflexive space PDFBibTeX XMLCite \textit{Y. Su} and \textit{X. Qin}, Novi Sad J. Math. 36, No. 2, 43--55 (2006; Zbl 1164.47376) Full Text: EuDML