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- W2051384161 abstract "In this paper a new sequential Lagrange multiplier condition characterizing optimality without a constraint qualification for an abstract nonsmooth convex program is presented in terms of the subdifferentials and the $epsilon$-subdifferentials. A sequential condition involving only the subdifferentials, but at nearby points to the minimizer for constraints, is also derived. For a smooth convex program, the sequential condition yields a limiting Kuhn--Tucker condition at nearby points without a constraint qualification. It is shown how the sequential conditions are related to the standard Lagrange multiplier condition. Applications to semidefinite programs, semi-infinite programs, and semiconvex programs are given. Several numerical examples are discussed to illustrate the significance of the sequential conditions." @default.
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- W2051384161 date "2003-01-01" @default.
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- W2051384161 title "New Sequential Lagrange Multiplier Conditions Characterizing Optimality without Constraint Qualification for Convex Programs" @default.
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- W2051384161 doi "https://doi.org/10.1137/s1052623402417699" @default.
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