TOPOLOGICAL MIXING AND SPECIFICATION IN WEAKLY CONTRACTING RELATIONS

Abstract

We establish topological mixing and Specification property ofthe dynamics of a weakly contracting compact-valued function on its attractor. These properties strengthen our earlier results,obtained for weakly contracting relations, namely, the topological transitivity and Shadowing property.

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Set-valued maps, weak contractions, attractor, specification property, topological mixing

Citation

GLAVAN, V., GUȚU, V. Topological mixing and specification in weakly contracting relations. In:The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM,. 2017, pp. 281-284. ISBN 978-9975-71-915-5.

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