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KUHN-TUCKER NECESSARY CONDITIONS FOR (h, ψ)-MULTIOBJECTIVE OPTIMIZATION PROBLEMS
作者姓名:XU  Yihong
作者单位:XU Yihong (Department of Mathematics,Nanchang University,Nanchang 330047; Department of Applied Mathematics,Xidian University,Xi'an 710071,China) LIU Sanyang (Department of Applied Mathematics,Xidian University,Xi'an 710071,China)
基金项目:This research is supported by the National Natural Science Foundation of China Grant 10261006, the Foundation of Education Section of Excellent Doctorial Theses Grant 200217 and the Basic Theory Foundation of Nanchang University.
摘    要:Five kinds of cones are introduced, which are used to establish the constraints qualifications, under which the generalized Kuhn-Tucker necessary conditions are developed for a class of generalized (h, (?))-differentiable single-objective and multiobjective programming problems by using Motzkin's alternative theorem and Ben-Tal generalized algebraic operations.

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