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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

Second-order necessary conditions of the Kuhn-Tucker type in multiobjective programming problems

Aghezzaf B.

Control and Cybernetics

1999

Vol. 28, no 2

213-224

In this paper, we are concerned with a multiobjective programming problem with inequality constraints. We develop second-order necessary condition of the Kuhn-Tucker type for effciency and prove that the condition holds under a. constraint qualification. Moreover, we give some conditions which ensure that the constraint qua,lifica.tion holds.