An invitation to the study of a uniqueness problem

2020/07/22 by Ricceri, Biagio
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2007.11400

Abstract

In this very short paper, we provide a strong motivation for the study of the following problem: given a real normed space E, a closed, convex, unbounded set X⊆ E and a function f:X→ X, find suitable conditions under which, for each y∈ X, the function x→ ‖x-f(x)‖-‖y-f(x)‖ has at most one global minimum in X.

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