Abstract
In the work, a new approach to constructing optimality conditions for degenerate smooth optimization problems with inequality constraints is proposed. The approach is based on the theory of p-regularity. A special case of degeneracy, when the first derivatives of some function-constraints are equal to zero up to some order, is considered. Optimality conditions for the general case of degeneracy with p = 2 are presented. Proposed constructions and optimality conditions are illustrated by an example. A general case of degeneracy is considered and optimality conditions for the case of p ≥ 2 are proposed.
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Original Russian Text © O.A. Brezhneva, A.A. Tret’yakov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 467, No. 3, pp. 255–256.
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Brezhneva, O.A., Tret’yakov, A.A. New approach to optimality conditions for degenerate nonlinear programming problems. Dokl. Math. 93, 166–169 (2016). https://doi.org/10.1134/S1064562416020125
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DOI: https://doi.org/10.1134/S1064562416020125