Journal of Applied Mathematics 
Volume 2003 (2003), Issue 7, Pages 365-376
doi:10.1155/S1110757X03209049

On generalized derivatives for C1,1 vector optimization problems

Davide La Torre

 Department of Economics, University of Milan, Via Conservatorio 7, Milano 20122, Italy
Received 19 September 2002; Revised 16 February 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.