OPTIMALITY CONDITIONS FOR NONSMOOTH INTERVAL-VALUED AND MULTIOBJECTIVE SEMI-INFINITE PROGRAMMING

摘要

A nonsmooth semi-infinite interval-valued vector programming problem is solved in the paper by Jennane et al. (RAIRO:OR 55 (2021) 1-11.). The necessary optimality condition obtained by the authors, as well as its proof, is false. Some counterexamples are given to call into question some results on which the main result (Jennane et al. [6] Thm. 4.5) is based. For the convenience of the reader, we correct the faulty in those results, propose a correct formulation of Theorem 4.5, and give also a short proof.