Journals / Communications in Advanced Mathematical Sciences / 2022 / Cilt: 5 Sayı: 1

Erratum to ‘‘A New Pre-Order Relation for Set Optimization using $\ell$-difference [Commun. Adv. Math. Sci., 4(3) (2021), 163-170

Pages
46–47
Publication Date
2022-03-17
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The main results of the paper are not affected by this erratum.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, an erratum for a proposition in the paper ‘‘A New Pre-Order Relation for Set Optimization using $\ell$-difference" is outlined.
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Key Findings & Data:It was pointed out by Stefan Rocktäschel and Ernest Quintana that the proof of Proposition 3.11 is wrong in \cite{koc}.
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Conclusion & Impact:The main results of the paper are not affected by this erratum.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Order relation · Pre-order relation · Set optimization

Abstract

In this work, an erratum for a proposition in the paper ‘‘A New Pre-Order Relation for Set Optimization using $\ell$-difference" is outlined. It was pointed out by Stefan Rocktäschel and Ernest Quintana that the proof of Proposition 3.11 is wrong in \cite{koc}. A small detail in the proof of Proposition 3.11 has been overlooked. A new proposition, which is closely related to Proposition 3.11 in \cite{koc}, is presented. The main results of the paper are not affected by this erratum.

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Cite This Article

KARAMAN, E. (2022). Erratum to ‘‘A New Pre-Order Relation for Set Optimization using $\ell$-difference [Commun. Adv. Math. Sci., 4(3) (2021), 163-170. Communications in Advanced Mathematical Sciences, Cilt: 5 Sayı: 1, 46–47. https://ajindex.com/articles/903619

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References (1)

  1. E. Karaman, A new pre-Order relation for set optimization using l-difference, Commun. Adv. Math. Sci., 4(3) (2021), 163-170.