An Invitation to the Study of a Uniqueness Problem

Biagio Ricceri ()
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Biagio Ricceri: University of Catania

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 445-448 from Springer

Abstract: Abstract In this very short chapter, 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 ) ∥ $$\displaystyle x\to \|x-f(x)\|-\|y-f(x)\| $$ has at most one global minimum in X.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_21

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DOI: 10.1007/978-3-030-61732-5_21

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