JIPAM

Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints  
 
  Authors: T. Amahroq, N. Gadhi, Pr H. Riahi,  
  Keywords: Optimality Conditions, Epi-convergence, Epi-differentiability, Support function.  
  Date Received: 04/08/02  
  Date Accepted: 12/03/03  
  Subject Codes:

58C05,58C20.

  
  Editors: Alexander M. Rubinov (1940-2006),  
 
  Abstract:

In this paper, we establish first-order optimality conditions for the problem of minimizing a function $f$ on the solution set of an inclusion $% 0in Fleft( xright) $ where $f$ and the support function of a set-valued mapping $F$ are epi-differentiable at $overline{x}.$;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=279