Autor: Gadhi, Nazih Abderrazzak - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Necessary optimality conditions for robust nonsmooth multiobjective optimization problems
Autorzy:: Gadhi, Nazih Abderrazzak
Ohda, Mohamed
Powiązania:: https://bibliotekanauki.pl/articles/2183482.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: convexificator
directional constraint qualification
efficient solution
optimality conditions
robust multiobjective optimization
Opis:: This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.
Źródło:: Control and Cybernetics; 2022, 51, 3; 289--302
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimality conditions in set-valued optimization using approximations as generalized derivatives
Autorzy:: Gadhi, Nazih Abderrazzak
Ichatouhane, Aissam
Powiązania:: https://bibliotekanauki.pl/articles/31342744.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: approximations
set-valued optimization
local weak l-minimal solutions
optimality conditions
Opis:: The set criterion is an appropriate defining approach regarding the solutions for the set-valued optimization problems. By using approximations as generalized derivatives of set-valued mappings, we establish necessary optimality conditions for a constrained set-valued optimization problem in the sense of set optimization in terms of asymptotical pointwise compact approximations. Sufficient optimality conditions are then obtained through first-order strong approximations of data set-valued mappings.
Źródło:: Control and Cybernetics; 2022, 51, 4; 425-444
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Optimality conditions for a set-valued optimization problem in terms of approximations
Autorzy:: Gadhi, Nazih Abderrazzak
Rahou, Fatima Zahra
El Idrissi, Mohammed
Powiązania:: https://bibliotekanauki.pl/articles/1839139.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: approximation
weak Paretominimal point
A-pseudo-convexity
A-quasi-invexity
Opis:: In this paper, we are concerned with a constrained set-valued optimization problem (P). Using support functions, we give necessary optimality conditions in terms of Karush-Kuhn-Tucker (KKT) multipliers and approximations. Under generalized convex- ity, we investigate sufficient optimality conditions. An example illustrating our findings is also given.
Źródło:: Control and Cybernetics; 2019, 48, 3; 439-452
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja