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Convergence to Attractors Under Perturbations

Commun. Math. Anal.
Volume 10, Number 1 (2011), 57 - 63

Convergence to Attractors Under Perturbations

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Abstract

We show that if for any initial point there exists a trajectory of a nonexpansive set-valued mapping attracted by a given set, then this property is stable under small perturbations of the mapping.