## Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings.(English)Zbl 1081.47063

In the present paper, several weak and strong convergence theorems are established for three-step iterative schemes with errors for asymptotically nonexpansive mappings. The results presented extend and improve the recent ones announced by K.–K. Tan and H. K. Xu [Proc. Am. Math. Soc. 122, No. 3, 733–739 (1994; Zbl 0820.47071)], B.–L. Xu and M. A. Noor [J. Math. Anal. Appl. 267, No. 2, 444–453 (2002; Zbl 1011.47039)], and others.

### MSC:

 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 65J15 Numerical solutions to equations with nonlinear operators

### Citations:

Zbl 0820.47071; Zbl 1011.47039
Full Text:

### References:

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