A conjecture implying the existence of non-convex Chebyshev sets in infinite-dimensional Hilbert spaces

2011/01/15 by Biagio Ricceri, Ricceri, Biagio
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1101.2992

openalex publication_date 2011/01/15 · arxiv created 2011/02/16 · arxiv updated 2011/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose the study of a conjecture whose affirmative solution would provide an example of a non-convex Chebyshev set in an infinite-dimensional real Hilbert space.

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