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arXiv · 2509.01108

Multiobjective Programming and Weighting Scalar Problem

Vsevolod I. Ivanov
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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.

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Vsevolod I. Ivanov. 2025-09-01. Multiobjective Programming and Weighting Scalar Problem. https://arxiv.org/abs/2509.01108

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