New convergence theorems for certain iterative schemes in Banach spaces. (English) Zbl 1138.47053
After surveying several recent results on the iterative approximation of fixed points, the authors present four convergence theorems for both implicit and explicit iterative methods with errors, from which they then obtain as corollaries most of the results they have surveyed in the first part of the paper.
Reviewer: Vasile Berinde (Baia Mare)
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H06 | Nonlinear accretive operators, dissipative operators, etc. |
| 47H10 | Fixed-point theorems |
Keywords:
Banach space; quasi-accretive operator; strongly accretive operator; pseudo-contractions; convergence condition; Bruck-Reich condition; condition (I); strong convergenceReferences:
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