English

An invitation to the study of a uniqueness problem

Functional Analysis 2020-07-23 v1

Abstract

In this very short paper, we provide a strong motivation for the study of the following problem: given a real normed space EE, a closed, convex, unbounded set XEX\subseteq E and a function f:XXf:X\to X, find suitable conditions under which, for each yXy\in X, the function xxf(x)yf(x)x\to \|x-f(x)\|-\|y-f(x)\| has at most one global minimum in XX.

Keywords

Cite

@article{arxiv.2007.11400,
  title  = {An invitation to the study of a uniqueness problem},
  author = {Biagio Ricceri},
  journal= {arXiv preprint arXiv:2007.11400},
  year   = {2020}
}
R2 v1 2026-06-23T17:18:53.038Z