2018/12/02 by Xinxing Wu, Xu Zhang, Wu, Xinxing +3
Computer Science · Mathematics · #FOS: Mathematics #Functional Equations Stability Results #Fuzzy Systems and Optimization #Metric Geometry (math.MG) #Optimization and Variational Analysis #math.MG
paper · pdf · doi:10.48550/arxiv.1812.08584
arxiv created 2018/12/02 · openalex publication_date 2018/12/02 · arxiv updated 2018/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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].