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关于优化问题的两个注记

Two Remarks On The Optimization Problem

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【作者】 徐士英

【Author】 Xu Shiying(Department of Mathematics)

【机构】 浙江师大数学系

【摘要】 本文指出有关优化问题的两个定理中的错误,并作了改正。

【Abstract】 In this paper, we point out some mistakes about the two theorems of optimization problem. The first one concerns the concave program obtained by Yu Xingtai: Suppose f is a lower semi-continuous concave function defined on a nonempty compact subset A of a real locally convex space X,then f can reach its minimum on ext(A). We find that the proof of this theorem is incorrect,and then we give a correct proof. The second is about the stability of multi-objective program obtained by Tanino T Sawaragi Y. We show that the result does not hold true by giving a counter-example,and then we give a relevant correct one.

【关键词】 凹规划多目标优化稳定性
【Key words】 concave programmulti-objective optimizationstability
  • 【文献出处】 浙江师大学报(自然科学版) ,Journal of Zhejiang Normal University(Natural Sciences) , 编辑部邮箱 ,1993年02期
  • 【下载频次】8
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