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Some results about T-stability and almost T-stability. (English) Zbl 1281.47052
Let $$X$$ be a normed space and $$T: X \to X$$ an operator with a unique fixed point. In this paper, the authors study: (i) the almost stability of Mann iteration, when $$T$$ is a $$\varphi$$-contraction; (ii) the stability of Picard iteration for $$T$$ satisfying a contractive condition of integral type.

##### MSC:
 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.
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