Componentwise versus global approaches to nonsmooth multiobjective optimization
Giancarlo Bigi - Dipartimento di Informatica, Università di Pisa, Largo B.Pontecorvo, 3, 56127 Pisa, Italy (email)
Abstract: The paper aims to analyse and compare two different approaches to optimality conditions for multiobjective optimization problems, which involve nonsmooth functions. Both necessary and sufficient first order conditions are presented for the case in which constraint is given just as a set. Finally, the optimality conditions based on these two approaches are compared.
Keywords: Dini¨CHadamard componentwise and set¨Cvalued derivatives, generalized
Jacobians, tangent cones, optimality conditions.
Received: June 2004; Revised: December 2004; Published: January 2005.
2012 Impact Factor.598