This article is cited in 1 scientific paper (total in 1 paper)
Necessary optimality conditions in non-smooth problems with equality constraints
R. A. Khachatryan
Yerevan State University, Yerevan, Armenia
Necessary conditions for extremum in non smooth problems are obtained in this article. The problem under consideration includes both equality and inequality type constrains given by non-smooth functions. The necessary conditions are given in terms of asymptotic subdifferentials. Generalized Lagranges's multiplier rule for non-smooth problems with not local lipschitz constraints is obtained. It is proved also that Peno's and Clark's generalized derivatives are upper convex approximations for local Lipshitz functions.
subdifferential, tent, tangent cone.
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R. A. Khachatryan, “Necessary optimality conditions in non-smooth problems with equality constraints”, Vladikavkaz. Mat. Zh., 18:3 (2016), 72–83
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\paper Necessary optimality conditions in non-smooth problems with equality constraints
\jour Vladikavkaz. Mat. Zh.
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R. A. Khachatryan, “Usloviya minimuma gladkoi funktsii na granitse kvazidifferentsiruemogo mnozhestva”, Vestnik rossiiskikh universitetov. Matematika, 25:130 (2020), 165–182
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