Temat: Duality - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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: 2.

Tytuł:: Optimality conditions and duality for generalized fractional minimax programming involving locally Lipschitz (b,Ψ,Φ,ρ) -univex functions
Autorzy:: Antczak, T.
Mishra, S. K.
Upadhyay, B. B.
Powiązania:: https://bibliotekanauki.pl/articles/206666.pdf
Data publikacji:: 2018
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: generalized fractional minimax programming
locally Lipschitz (b,Ψ,Φ,ρ)-univex function
optimality conditions
duality
Opis:: In this paper, we are concerned with optimality conditions and duality results of generalized fractional minimax programming problems. Suﬃcient optimality conditions are established for a class of nondiﬀerentiable generalized fractional minimax programming problems, in which the involved functions are locally Lipschitz (b,Ψ,Φ,ρ)-univex. Subsequently, these optimality conditions are utilized as a basis for constructing various parametric and nonparametric duality models for this type of fractional programming problems and proving appropriate duality theorems.
Źródło:: Control and Cybernetics; 2018, 47, 1; 5-32
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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