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On the Newton method for set-valued maps

✍ Scribed by S. Dias; G. Smirnov


Book ID
113811339
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
778 KB
Volume
75
Category
Article
ISSN
0362-546X

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Any continuous map T on a compact metric space X induces in a natural way a continuous map T on the space K(X) of all non-empty compact subsets of X. Let T be a homeomorphism on the interval or on the circle. It is proved that the topological entropy of the induced set valued map T is zero or infini