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On generalized derivatives for C 1 , 1 vector optimization problems

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  • Davide La Torre

Abstract

We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C 1 , 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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  • Davide La Torre, 2003. "On generalized derivatives for C 1 , 1 vector optimization problems," Journal of Applied Mathematics, Hindawi, vol. 2003, pages 1-12, January.
    • Handle: RePEc:hin:jnljam:174827
    DOI: 10.1155/S1110757X03209049
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    Cited by:

    1. Belaïd Aouni & Cinzia Colapinto & Davide Torre, 2013. "A cardinality constrained stochastic goal programming model with satisfaction functions for venture capital investment decision making," Annals of Operations Research, Springer, vol. 205(1), pages 77-88, May.

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