scholarly journals Corrigendum on: Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential (Yugoslav Journal of Operations Research, vol. 31, no 4, doi: https://doi.org/10.2298/YJOR201017013P)

2021 ◽  
pp. 25-25
Author(s):  
E Editoral
Keyword(s):  
Optimality Conditions ◽  
Operations Research ◽  
Data Uncertainty ◽  
Mordukhovich Subdifferential ◽  
Infinite Programming ◽  
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The author of the article "Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming with Data Uncertainity via Mordukhovich Subdifferential", Thanh-Hung Pham has informed the Editor about necessary corrections of the paper. <br><br><font color="red"><b> Link to the corrected article <u><a href="http://dx.doi.org/10.2298/YJOR201017013P">10.2298/YJOR201017013P</a></b></u>

scholarly journals Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential

2021 ◽  
pp. 13-13
Author(s):  
Thanh-Hung Pham
Keyword(s):  
Optimality Conditions ◽  
Optimization Problems ◽  
Data Uncertainty ◽  
Mordukhovich Subdifferential ◽  
New Concepts ◽  
Infinite Programming

Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ?-solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results.

scholarly journals Erratum to " Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming"

2020 ◽  
Author(s):  
Mohsine Jennane ◽  
El Mostafa Kalmoun ◽  
Lahoussine Lafhim
Keyword(s):  
Optimality Conditions ◽  
Operations Research ◽  
Additional Condition ◽  
Strict Inequality ◽  
Interval Order ◽  
Infinite Programming ◽  
Definition Of ◽  
Interval Valued

This note corrects an error in our paper RAIRO-Operations Research /doi.org/10.1051/ro/2020066 as we should drop the expression ”with at least one strict inequality” in the definition of interval order in Section 2. Instead of proposing this short amendment, the authors of RAIRO-Operations Research doi.org/10.1051/ro/2020107 gave a proposition that requires an additional condition on the constraint functions. However, we claim that all the results of our paper are correct once the modification above is done.

scholarly journals A note on the paper "Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming"

2020 ◽  
Author(s):  
Nazih Abderrazzak Gadhi ◽  
Aissam Ichatouhane
Keyword(s):  
Optimality Conditions ◽  
Programming Problem ◽  
Optimality Condition ◽  
Short Proof ◽  
Necessary Optimality Condition ◽  
Main Result Theorem ◽  
Correct Formulation ◽  
Result Theorem ◽  
Infinite Programming ◽  
Interval Valued

A nonsmooth semi-infinite interval-valued vector programming problem is solved in the paper by Jennane et all. (RAIRO-Oper. Res. doi: 10.1051/ro/2020066, 2020). The necessary optimality condition obtained by the authors, as well as its proof, is false. Some counterexamples are given to refute some results on which the main result (Theorem 4.5) is based. For the convinience of the reader, we correct the faulty in those results, propose a correct formulation of Theorem 4.5 and give also a short proof.

Optimality conditions for convex semi-infinite programming problems

1980 ◽  
Vol 27 (3) ◽  
pp. 413-435 ◽  
Author(s):  
A. Ben-Tal ◽  
L. Kerzner ◽  
S. Zlobec
Keyword(s):  
Optimality Conditions ◽  
Infinite Programming
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