Browsing by Subject "optimality conditions"

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Access status: Open Access ,
On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems
(Wydawnictwa AGH, 2023) Antczak, Tadeusz; Arana-Jimenéz, Manuel; Treanţă, Savin
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.
Access status: Open Access ,
Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions
(2014) Antczak, Tadeusz; Arana Jiménez, Manuel
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.