Zeng, Liuchuan On the strong convergence of iterative method for non-Lipschitzian asymptotically pseudocontractive mappings. (Chinese. English summary) Zbl 1088.47515 Acta Math. Appl. Sin. 27, No. 3, 430-439 (2004). The author develops an Ishikawa type iterative algorithm to approximate the fixed points of non-Lipschitz asymptotically pseudocontractive mappings in Banach spaces. The strong convergence of the algorithm is discussed in particular. Reviewer: Ya-Ping Fang (Chengdu) MSC: 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems Keywords:asymptotically pseudocontractive mapping; asymptotically nonexpansive mapping; modified Ishikawa iteration process with errors; fixed point; strong convergence PDF BibTeX XML Cite \textit{L. Zeng}, Acta Math. Appl. Sin. 27, No. 3, 430--439 (2004; Zbl 1088.47515) OpenURL