In this paper we introduce a generalized second-order Riemann-type derivative for C1,1 vector functions and use it to establish necessary and sufficient optimality conditions for vector optimization problems. We show that these conditions are stronger than those obtained by means of the second-order subdifferential in Clarke sense considered in Guerraggio, Luc (2001) and also to some extent than those obtained in Guerraggio, Luc, Minh (2001)
C1,1 vector optimization and Riemann derivatives
IVANOV, IVAN GINCHEV;GUERRAGGIO, ANGELO;ROCCA, MATTEO
2004-01-01
Abstract
In this paper we introduce a generalized second-order Riemann-type derivative for C1,1 vector functions and use it to establish necessary and sufficient optimality conditions for vector optimization problems. We show that these conditions are stronger than those obtained by means of the second-order subdifferential in Clarke sense considered in Guerraggio, Luc (2001) and also to some extent than those obtained in Guerraggio, Luc, Minh (2001)
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