Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex function

• Autorzy: Antczak T. , Jimenez M. A.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.4.665

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multiobjective variational control problems; efficient solution; B-(p, r)-invex functions; optimality conditions; duality

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 4
• Strony: 665--682
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Antczak T.

• University of Łódz Faculty of Mathematics Banacha 22, 90-238 Łódz, Poland

autor

Jimenez M. A.

• Universidad de Cádiz Facultad de CCSS y de la Comunicación Departamento de Estadística e Investigación Operativa Spain

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