EPI-DIFFERENTIABILITY AND OPTIMALITY CONDITIONS FOR AN EXTREMAL PROBLEM UNDER INCLUSION CONSTRAINTS

T. AMAHROQ, N. GADHI AND PR H. RIAHI

UNIVERSITÉ CADI AYYAD,
FACULTÉ DES SCIENCES ET TECHNIQUES, 
B.P. 549, MARRAKECH, MAROC.
E-Mail: amahroq@fstg-marrakech.ac.ma

UNIVERSITÉ CADI AYYAD, 
FACULTÉ DES SCIENCES SAMLALIA, 
B.P 2390 MARRAKECH, 
MOROCCO.
E-Mail: n.gadhi@ucam.ac.ma

Received 4 August, 2002; Accepted 12 March, 2003.
Communicated by: A.M. Rubinov

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 Key words: Optimality Conditions, Epi-convergence, Epi-differentiability, Support function. 2000 Mathematics Subject Classification: Primary 58C05; Secondary 58C20.

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