Application of a Vector-Valued Ekeland-Type Variational Principle for Deriving Optimality Conditions
Application of a Vector-Valued Ekeland-Type Variational Principle for Deriving Optimality Conditions
复制标题
应用矢量值 Ekeland 型变分原理推导最优性条件
DOI：
10.1007/978-1-4419-0158-3_23
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发表时间：
2010
影响因子：
1.8
通讯作者：
C. Tammer
中科院分区：
文献类型：
--
作者：
G. Isac;C. Tammer
为了证明一般空间中向量值优化问题近似解的必要条件，我们引入了一种标量化方案的公理方法。有几个例子说明了这种标量化方案。利用Isac[12]的Ekland型变分原理和适当的标量化技巧，我们证明了在关于有序锥的不同假设和目标函数的某些可微性假设下的最优性条件。
In order to show necessary conditions for approximate solutions of vector-valued optimization problems in general spaces, we introduce an axiomatic approach for a scalarization scheme. Several examples illustrate this scalarization scheme. Using an Ekeland-type variational principle by Isac [12] and suitable scalarization techniques, we prove the optimality conditions under different assumptions concerning the ordering cone and under certain differentiability assumptions for the objective function.