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On the stability of some fixed point procedures. (English) Zbl 1031.47030
Summary: Following the concept of \(T\)-stability defined by us [“Generalized contractions and applications” (Romanian) (Colectia Universitaria, Editura Cub Press 22, Baia Mare) (1997; Zbl 0885.47022)] for a fixed point iteration procedure, we establish in a simpler manner the same stability results for the Picard iteration and Mann iteration considered in metric spaces and normed linear spaces, respectively.

MSC:
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
47J25 Iterative procedures involving nonlinear operators
65D15 Algorithms for approximation of functions
Citations:
Zbl 0885.47022
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