Local Saddle Points and Convexification for Nonconvex Optimization Problems

Z. K. Xu
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Z. K. Xu: Zhejiang Normal University

Journal of Optimization Theory and Applications, 1997, vol. 94, issue 3, No 11, 739-746

Abstract: Abstract Recently, Li (Ref. 1) obtained a saddle-point result for a general class of nonconvex optimization problems with inequality constraints, by using a transformation equivalent to taking the pth power of the objective function and the constraints, under several conditions. In this paper, we show that, by an equivalent transformation, using the pth power of the constraints or using the pth power of the objective function and the constraints, the same result can be obtained under much weaker and reasonable conditions. Also, our results can be extended to the problem in which equality and inequality constraints are involved.

Keywords: Nonconvex optimization; saddle points; convexification; second-order sufficient conditions (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022613419816

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