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C^1'1 vector optimization problems and Riemann derivatives

Ginchev I., Guerraggio A., Rocca M.

Control and Cybernetics

2004

Vol. 33, no 2

259-273

In this paper we introduce a generalized second-order Riemann-type derivative for C^1'1 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 subdinerential in Clarke sense considered in Guerraggio, Luc (2001) and also to some extent than those obtained in Guerraggio, Luc, Minh (2001).