# A Note on the Paper "Optimality Conditions for Vector Optimization   Problems with Difference of Convex Maps"

**Authors:** Allahkaram Shafie, Fari Bozorgnia

arXiv: 1902.03292 · 2019-02-12

## TL;DR

This paper identifies errors in previous results on vector optimization with difference of convex maps, corrects them, and extends the concept of approximate pseudo-dissipativity to broader spaces.

## Contribution

It provides counterexamples to refute prior claims, corrects faulty theorems, and extends the definition of approximate pseudo-dissipativity to metrizable topological vector spaces.

## Key findings

- Counterexamples refuting previous results
- Corrected theorems with alternative proofs
- Extended the definition of approximate pseudo-dissipativity

## Abstract

In this work, some counterexamples are given to refute some results reported in the paper by Guo and Li [8] (J Optim Theory Appl 162,(2014), 821-844). We correct the faulty in some of their theorems and we present alternative proofs. Moreover, we extend the definition of approximately pseudo-dissipative in the setting of metrizable topological vector spaces.

## Full text

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## References

19 references — full list in the complete paper: https://tomesphere.com/paper/1902.03292/full.md

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Source: https://tomesphere.com/paper/1902.03292