Comments on “Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming”
RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 719-721

Necessary optimality conditions for a nonsmooth semi-infinite interval-valued vector programming problem are given in the paper by Jennane et al. (RAIRO:OR (2020). DOI: 10.1051/ro/2020066). Having noticed inconsistencies in their paper, Gadhi and Ichatouhane (RAIRO:OR (2020). DOI: 10.1051/ro/2020107) made the necessary corrections and proposed what they considered a more pertinent formulation of their main Theorem. Recently, Jennane et al. (RAIRO:OR (2020). DOI: 10.1051/ro/2020134) have criticised our work. This note is a critical response to this criticism.

DOI : 10.1051/ro/2021019
Classification : 58E35, 90C46, 90C29, 49J52
Keywords: Convexifactor, constraint qualifications, interval-valued functions, optimality conditions
@article{RO_2021__55_2_719_0,
     author = {Gadhi, Nazih Abderrazzak and Ichatouhane, Aissam},
     title = {Comments on {{\textquotedblleft}Optimality} conditions for nonsmooth interval-valued and multiobjective semi-infinite programming{\textquotedblright}},
     journal = {RAIRO. Operations Research},
     pages = {719--721},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     number = {2},
     doi = {10.1051/ro/2021019},
     mrnumber = {4241822},
     zbl = {1468.49015},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2021019/}
}
TY  - JOUR
AU  - Gadhi, Nazih Abderrazzak
AU  - Ichatouhane, Aissam
TI  - Comments on “Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming”
JO  - RAIRO. Operations Research
PY  - 2021
SP  - 719
EP  - 721
VL  - 55
IS  - 2
PB  - EDP-Sciences
UR  - https://www.numdam.org/articles/10.1051/ro/2021019/
DO  - 10.1051/ro/2021019
LA  - en
ID  - RO_2021__55_2_719_0
ER  - 
%0 Journal Article
%A Gadhi, Nazih Abderrazzak
%A Ichatouhane, Aissam
%T Comments on “Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming”
%J RAIRO. Operations Research
%D 2021
%P 719-721
%V 55
%N 2
%I EDP-Sciences
%U https://www.numdam.org/articles/10.1051/ro/2021019/
%R 10.1051/ro/2021019
%G en
%F RO_2021__55_2_719_0
Gadhi, Nazih Abderrazzak; Ichatouhane, Aissam. Comments on “Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming”. RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 719-721. doi: 10.1051/ro/2021019

[1] N. A. Gadhi and A. Ichatouhane, A note on the paper Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming. RAIRO:OR 55 (2021) 13–22. | MR | Zbl | Numdam | DOI

[2] M. Jennane, E. Kalmoun and L. Lafhim, Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming. RAIRO:OR 55 (2021) 1–11. | MR | Zbl | Numdam | DOI

[3] M. Jennane, E. Kalmoun and L. Lafhim, Erratum to “Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming”. RAIRO:OR 55 (2021) 23–25. | MR | Zbl | Numdam | DOI

[4] A. Kabgani and M. Soleimani-Damaneh, Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semiinfinite multiobjective optimization using convexificators. Optimization 67 (2017) 217–235. | MR | Zbl | DOI

Cité par Sources :