Non-expansive mappings and iterative methods in uniformly convex Banach spaces. (English) Zbl 1083.47060
The author investigates the properties of iterative sequences for non-expansive mappings and presents several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach spaces. The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings.
Reviewer: Ulrich Kosel (Freiberg)
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H10 | Fixed-point theorems |
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