Abstract:
This is a continuation of the series of the author's previous works devoted to the cascade search method. The stability of the subset of reachable from $x$ limit points of a given search multicascade is considered with respect to a small variation of the initial point $x$ and to a small perturbation of the search functional generating the multicascade. The results are applied to the cascade search problem for common preimages of a closed subspace under $n(n\ge1)$ multivalued mappings.
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