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Multiobjective variational programming under generalized (V, p)-B-type I functions

Khazafi K., Rueda N., Enflo P.

Control and Cybernetics

2009

Vol. 38, no. 2

555-572

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.

Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity

Aghezzaf B., Khazafi K.

Control and Cybernetics

2004

Vol. 33, no. 1

113-126

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