Temat: Duality - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems
Autorzy:: Antczak, Tadeusz
Arana-Jimenéz, Manuel
Treanţă, Savin
Powiązania:: https://bibliotekanauki.pl/articles/29519358.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: nondifferentiable multiobjective fractional variational control problem
efficient solution
optimality conditions
generalized univexity
Mond-Weir duality
Wolfe duality
Opis:: In this paper, we consider the class of nondifferentiable multiobjective fractional variational control problems involving the nondifferentiable terms in the numerators and in the denominators. Under univexity and generalized univexity hypotheses, we prove optimality conditions and various duality results for such nondifferentiable multiobjective fractional variational control problems. The results established in the paper generalize many similar results established earlier in the literature for such nondifferentiable multiobjective fractional variational control problems.
Źródło:: Opuscula Mathematica; 2023, 43, 3; 335-391
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

Tytuł:: Multiobjective variational programming under generalized (V, p)-B-type I functions
Autorzy:: Khazafi, K.
Rueda, N.
Enflo, P.
Powiązania:: https://bibliotekanauki.pl/articles/970961.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: multiobjective variational programming
efficient solution
proper efficient solution
generalized (V, p)-B-type I functions
sufficient conditions
mixed type duality rusults
Opis:: In this paper, we generalize the (V, p)-invexity denned for nonsmooth multiobjective fractional programming by Mishra, Rueda and Giorgi (2003) to variational programming problems by defining new classes of vector- valued functions called (V, p)-B-type I and generalized (V, p)-B-type I. Then we use these new classes to derive various sufficient optimality conditions and mixed type duality results.
Źródło:: Control and Cybernetics; 2009, 38, 2; 555-572
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Autorzy:: Aghezzaf, B.
Khazafi, K.
Powiązania:: https://bibliotekanauki.pl/articles/970415.pdf
Data publikacji:: 2004
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sufficient conditions
mixed type duality
multiobjective variational programming
efficient solution
B-type I vector-valued functions
generalized B-type I vector-valued functions
rozwiązanie efektywne
warunek wystarczający
Opis:: In this paper, we consider the multiobjective variational problem. We propose a class of generalized B-type I vector-valued functions and use this concept to establish sufficient optimality conditions and mixed type duality results
Źródło:: Control and Cybernetics; 2004, 33, 1; 113-126
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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