This paper shows that there exists a contraction whose Zadeh's extension is not a contraction under the Skorokhod metric, answering negatively Problems 5.8 and 5.12 posted in [Jardón, Sánchez, and Sanchis, Some questions about Zadeh's extension on metric spaces, Fuzzy Sets and Systems, 2018].
Stephanie Getty, James Jim Brian Garvin, Giada Arney, Nicholas L. Johnson, M. Amato, D. H. Atkinson, S. K. Atreya, W. B. Brinckerhoff, B. A. Campbell, V. Cottini, David Crisp, J. Filiberto, F. Forget, M. S. Gilmore, David Grinspoon, Amy E. Hofmann, N. R. Izenberg, Stephen R. Kane, W. S. Kiefer, S. Lebonnois, R. D. Lorenz, P. R. Mahaffy, C. A. Malespin, A. Pavlov, ,
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