A Sum Theorem for (FPV) Operators and Normal Cones
M.D. Voisei
TL;DR
This paper presents an improved sum theorem for (FPV) operators and normal cones, addressing a gap in the existing literature and providing a corrected proof for a key lemma.
Contribution
It offers a new, more accurate sum theorem for (FPV) operators and normal cones, correcting previous inaccuracies in foundational lemmas.
Findings
Provides an improved sum theorem for (FPV) operators and normal cones
Corrects a previously incorrect lemma in the literature
Strengthens the theoretical foundation for (FPV) operator analysis
Abstract
On [3, p. 199] one says "We mention parenthetically that the proof of [99, Lemma 41.3] is incorrect, and we do not know whether it, [99, Theorem 41.5] and [99, Theorem 41.6] are true". The previously cited reference [99] is our reference [2]. The aim of this short note is to provide a result that improves upon [2, Lemma 41. 3].
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Matrix Theory and Algorithms