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  Volume 4, Issue 2, Article 41
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:


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

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 $overline{x}.$

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