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January  2005, 1(1): 21-32. doi: 10.3934/jimo.2005.1.21

Componentwise versus global approaches to nonsmooth multiobjective optimization

Giancarlo Bigi 1,

1. 

Dipartimento di Informatica, Università di Pisa, Largo B.Pontecorvo, 3, 56127 Pisa, Italy

Received  June 2004 Revised  December 2004 Published  January 2005

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: generalized Jacobians, tangent cones, Dini¨CHadamard componentwise and set¨Cvalued derivatives, optimality conditions..
Mathematics Subject Classification: 90C46, 49J52, 90C2.
Citation: Giancarlo Bigi. Componentwise versus global approaches to nonsmooth multiobjective optimization. Journal of Industrial & Management Optimization, 2005, 1 (1) : 21-32. doi: 10.3934/jimo.2005.1.21
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