## Moudafi’s viscosity approximations with Meir–Keeler contractions.(English)Zbl 1111.47059

The author discusses Moudafi’s viscosity approximations with Meir–Keeler contractions. First, he presents very simple proofs of Xu’s theorems concerning Moudafi’s approximations. Next, he proves that Browder’s and Halpern’s type convergence theorems imply Moudafi’s viscosity approximations. With these foregoing results, he states several new theorems.

### MSC:

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

### Citations:

Zbl 0957.47039; Zbl 1061.47060
Full Text:

### References:

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