Geodesic
Cascade search: Stability of reachable limit points
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 3-9

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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. 
@article{VMUMM_2010_5_a0,
     author = {T. N. Fomenko},
     title = {Cascade search: {Stability} of reachable limit points},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--9},
     publisher = {mathdoc},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a0/}
}
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T. N. Fomenko. Cascade search: Stability of reachable limit points. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a0/