## On the strong convergence of iterative method for non-Lipschitzian asymptotically pseudocontractive mappings.(Chinese. English summary)Zbl 1088.47515

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.

### MSC:

 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47H10 Fixed-point theorems