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DY Gao together with some of his collaborators applied his Canonical dualitytheory (CDT) for solving a class of constrained optimization problems.Unfortunately, in several papers on this subject there are unclear statements,not convincing proofs, or even false results. It is our aim in this work tostudy rigorously these class of constrained optimization problems in finitedimensional spaces and to discuss several results published in the last tenyears.

On constrained optimization problems solved using CDT