【摘要】 <正> [1]中讨论了变量区域适时变动时总极值问题,构造了如下算法模型: 给定有界闭区域序列{G_k}和c₀,设f（x）为Rⁿ中有下界的连续函数。 令H₀={x|f（x）≤c₀,x∈G₀},若μ（H₀）=0,则c₀即为G₀上总极小值,H₀为总极小点集（证明参见[2]）,算法终止,故不妨设μ（H₀）>0, 作更多还原

【Abstract】 In reference[1] the problem of global extreme with adaptive change of domain was discussed, and the algorithm model was also constructed.In reference[2], the opiimalily conditions of global extreme with fixed domain was discussed.In this paper, we discuss the convergence and cptimality conditions of global extreme with adaptive change of domain. Theorem 2 and theorem 5 are chief results. Theorem 2 give the sufficient and neccessaiy condition of the convrgence of the algorithm in [1]; theorem 5 give the global optimality sufficient and neccessary condition for x , which is obtained by algorithm in [1]. These results are generalizations of the results in [1],[2].更多还原