- Tytuł:
- Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex function
- Autorzy:
-
Antczak, T.
Jimenez, M. A. - Powiązania:
- https://bibliotekanauki.pl/articles/255711.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
multiobjective variational control problems
efficient solution
B-(p, r)-invex functions
optimality conditions
duality - Opis:
- In this paper, we generalize the notion of B-(p, r)-invexity introduced by Antczak in [A class of B-(p; r)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187–206] for scalar optimization problems to the case of a multiobjective variational programming control problem. For such nonconvex vector optimization problems, we prove sufficient optimality conditions under the assumptions that the functions constituting them are B-(p, r)-invex. Further, for the considered multiobjective variational control problem, its dual multiobjective variational control problem in the sense of Mond-Weir is given and several duality results are established under B-(p, r)-invexity.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 4; 665-682
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł