|   | 
           | 
            |        
         
         
          |   | 
          Volume 5, Issue 4, Article 101 | 
           | 
         
         
           | 
           | 
           | 
           | 
         
       |   | 
             Characterizations of Convex Vector Functions and Optimization
 
  | 
          
          |   | 
            | 
          Authors:  | 
          Claudio Cusano, Matteo Fini, Davide La Torre,  | 
            | 
         
         
          |   | 
            | 
          Keywords: 
             | 
          Nonsmooth optimization, Vector optimization, Convexity | 
            | 
         
         
          |   | 
            | 
          Date Received: 
             | 
          29/03/04 | 
            | 
         
         
          |   | 
            | 
          Date Accepted: 
             | 
          01/11/04 | 
            | 
         
         
          |   | 
            | 
          Subject Codes: | 
           
             90C29, 90C30, 26A24 
           | 
            | 
          
          |   | 
            | 
          Editors:  | 
          Alexander M. Rubinov (1940-2006),   | 
            | 
         
         
          |   | 
         
         
           | 
           | 
           | 
           | 
           | 
         
         
          |   | 
            | 
          Abstract: | 
           
              In this paper we characterize nonsmooth convex vector functions by first and second order generalized derivatives. We also prove optimality conditions for convex vector problems involving nonsmooth data.
             
          
         |  
         
           | 
           | 
           | 
           | 
           | 
         
         
          |   | 
            | 
            | 
           
           |  
         |  
         
          |   | 
            | 
            | 
           | 
            | 
          
         
         
        |