Generalized Invexity and Duality in Multiobjective Programming Problems

Authors:
Brahim Aghezzaf;Mohamed Hachimi
Affiliations:
Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock, B.P. 5366 Maârif, Casablanca, Morocco (e-mail: aghezzaf@facsc-achok.ac.ma);Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock, B.P. 5366 Maârif, Casablanca, Morocco (e-mail: aghezzaf@facsc-achok.ac.ma)
Venue:
Journal of Global Optimization
Year:
2000

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Abstract

In this paper, we are concerned with the multiobjective programming problem with inequality constraints. We introduce new classes of generalized type I vector-valued functions. Duality theorems are proved for Mond–Weir and general Mond–Weir type duality under the above generalized type I assumptions.