We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second-order Clarke subdifferential.
On generalized derivatives for C^{1,1} vector optimization problems / D. La Torre. - In: JOURNAL OF APPLIED MATHEMATICS. - ISSN 1110-757X. - 7:7(2003), pp. 365-376. [10.1155/S1110757X03209049]
On generalized derivatives for C^{1,1} vector optimization problems
D. La TorrePrimo
2003
Abstract
We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second-order Clarke subdifferential.
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