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Zero duality gap for a class of nonconvex optimization problems

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Abstract

By an equivalent transformation using thepth power of the objective function and the constraint, a saddle point can be generated for a general class of nonconvex optimization problems. Zero duality gap is thus guaranteed when the primal-dual method is applied to the constructed equivalent form.

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Communicated by D. G. Luenberger

The author very much appreciates the comments from Prof. Douglas J. White.

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Li, D. Zero duality gap for a class of nonconvex optimization problems. J Optim Theory Appl 85, 309–324 (1995). https://doi.org/10.1007/BF02192229

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