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          |  | Volume 4, Issue 2, Article 41 |  |   
          |  |  |  |  |  |  | Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints
 
 
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          |  |  | 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), |  |   
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          |  |  | Abstract: |  In this paper, we establish first-order optimality conditions for the problem of minimizing a function  on the solution set of an inclusion  where  and the support function of a set-valued mapping  are epi-differentiable at   |   
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