Multiobjective Programming and Weighting Scalar Problem
Optimization and Control
2025-09-03 v1
Abstract
In this work is discussed the paper by Osuna-Gomez, Beato-Moreno and Rufian-Lizana, Generalized convexity in multiobjective programming: J. Math. Anal. Appl., v. 233 (1999) pp. 205--220. We point out an error in the proofs of main Theorems 2.4 and 3.6 in this reference. Then we derive correct proofs, which are based on a different approach, because the scheme of the proofs of the authors is not applicable. As a result of the discussion two additional theorems are obtained such that the scheme of the proofs of Theorems 2.4 and 3.6 in the mentioned reference works for them.
Keywords
Cite
@article{arxiv.2509.01108,
title = {Multiobjective Programming and Weighting Scalar Problem},
author = {Vsevolod I. Ivanov},
journal= {arXiv preprint arXiv:2509.01108},
year = {2025}
}
Comments
8 pages