On some extension theorems for multifunctions
Constantin Zalinescu
TL;DR
This paper presents counterexamples to recent extension theorems for multifunctions, challenging previously claimed results and highlighting limitations in the current understanding of such theorems.
Contribution
It provides counterexamples that disprove several recent extension theorems for multifunctions, clarifying the boundaries of their applicability.
Findings
Counterexamples invalidate recent extension theorems
Highlights limitations in current multifunction extension theory
Clarifies conditions under which extension theorems may fail
Abstract
In this short note we give counterexamples to several results related to extension theorems published recently.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Advanced Banach Space Theory