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Nonlinear separation functions and constrained extremum problems
Authors:Y. D. Xu  S. J. Li
Affiliation:1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China
Abstract:In this paper, the image space analysis is employed to investigate constrained extremum problems. A new nonlinear separation function for the constrained extremum problems is given. Some optimality conditions and a strong duality theorem for the constrained extremum problem are obtained. These results extend and improve the corresponding ones in the literature.
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