A general iterative method for a finite family of nonexpansive mappings. (English) Zbl 1129.47058
Author’s abstract: We study the approximation of common fixed points of a finite family of nonexpansive mappings and suggest a modification of the iterative algorithm without the assumption of any type of commutativity. We also show that the convergence of the proposed algorithm can be proved under some types of control conditions.
Reviewer: Jürgen Appell (Würzburg)
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H10 | Fixed-point theorems |
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
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