Geodesic
Nonsmooth equations approach to a constrained minimax problem
Applications of Mathematics, Tome 50 (2005) no. 2, pp. 115-130.

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An equivalent model of nonsmooth equations for a constrained minimax problem is derived by using a KKT optimality condition. The Newton method is applied to solving this system of nonsmooth equations. To perform the Newton method, the computation of an element of the $b$-differential for the corresponding function is developed.
DOI : 10.1007/s10492-005-0008-0
Classification : 49J52, 65H10, 90C47
Keywords: nonsmooth optimization; nonsmooth equations; minimax problems; Newton methods; KKT systems; quasidifferential calculus 
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Gao, Yan; Li, Xuewen. Nonsmooth equations approach to a constrained minimax problem. Applications of Mathematics, Tome 50 (2005) no. 2, pp. 115-130. doi : 10.1007/s10492-005-0008-0. http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0008-0/

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