Further generalization of the Dubovicki-Milutin theorem |
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Authors: | W. Kotarski |
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Affiliation: | (1) Institute of Mathematics, Silesian University, Katowice, Poland |
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Abstract: | Combining the results of Walczak (Ref. 1) and Lasiecka (Refs. 2 and 3), we extend the well-known Dubovicki-Milutin theorem in two directions: (i) We allow for treatment of several equality constraints in optimization problems; and (ii) We assume less regularity of optimization problems by requiring the existence of external cones instead of tangent cones. An example of an optimization problem is also considered. |
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Keywords: | Internal cones external cones cones of the same sense and of the opposite sense Dubovicki-Milutin theorem necessary conditions of optimality |
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