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Journal of Applied Mathematics
Volume 2003, Issue 7, Pages 365-376
http://dx.doi.org/10.1155/S1110757X03209049

On generalized derivatives for C1,1 vector optimization problems

Department of Economics, University of Milan, Via Conservatorio 7, Milano 20122, Italy

Received 19 September 2002; Revised 16 February 2003

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.