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向量最优化弱有效解的特征和存在性

Existence and characteristics of solutions for vector optimization problems
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摘要 研究多目标凸向量最优化问题在Gateaux可微条件下弱有效解的特征,并讨论一类非凸向量最优化问题弱有效解及与一变分不等式的等价性,给出了解的存在性. This paper deals with the characteristics of weakly efficiency solutions of multiobjective convex vector optimization problems under the condition of Gateaux differentiability in a topological vector space. It also discusses the solutions of nonconvex vector optimization problems,and gives its existence theorem.
作者 黄龙光
出处 《纯粹数学与应用数学》 CSCD 2000年第3期41-44,50,共5页 Pure and Applied Mathematics
关键词 弱有效解 回收函数 准不变凸 向量最优化 存在性 weakly efficiency solution, recession function,preinx
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参考文献5

  • 1Guerraggio, A. ,Molho,E. and Iaffaroni, A.. On the notion of proper efficiency in vector optimization[J]. J. Optim. Theory Appl. Vol. 1994,82: 1 - 21.
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