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DOI: 10.23671/VNC.2016.3.5879
Necessary Optimality Conditions in Non-Smooth Problems with Equality Constraints
Khachatryan R. A.
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 3.
Abstract: 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.
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